## Choose the graph that matches the following system of equations: 5x + 2y = 2 3x − 3y = 18

## Choose the graph that matches the following system of equations 4x+2y=-2

, Subtract from both sides of the equation to arrive at the final result. Simplify each word by dividing it by. More measures are available by tapping… Subtract each word from the total. Excluding the common factor from the equation. More measures are available by tapping…Cancel the common element. Multiply by. Make each word as simple as possible. More measures are available by tapping… Multiply by. Substitute the negative for the fraction. Subtract from both sides of the equation to arrive at the final result. Simplify each word by dividing it by. More measures are available by tapping… Subtract each word from the total. Excluding the common factor from the equation. More measures are available by tapping…Cancel the common element. Multiply by. Make each word as simple as possible. More measures are available by tapping… Multiply by. Excluding the common factor from the equation. More measures are available by tapping… Excluding the common factor from the equation. Multiply by. To find the intersection of the equations, make a graph. The solution is the intersection of the scheme of equations.

## Choose the system of equations which matches the following graph:

Two types of boxes, A and B, are to be loaded into a truck with a 10 ton capacity. The truck weighs 10 tons when fitted with 150 type A boxes and 100 type B boxes. However, even though the truck is fully loaded with 260 boxes of type A, it can still handle 40 boxes of type B. Determine the weight of each box type.

Vishal traveled some of the 1900 kilometers by bus and some by plane. The average speed of a bus is 60 km/hr, while the average speed of an airplane is 700 km/hr. The journey takes 5 hours to complete. Vishal traveled by bus, so calculate the distance.

(2) Kantabai purchased 112 kilograms of tea and 5 kilograms of sugar from a store. She paid Rs 50 for the rickshaw ride back. The total cost was Rs 700. Then she realized that she could get the same items for the same price by buying them online and having them delivered to her home for free. So, the following month, she placed an online order for 2 kilograms of tea and 7 kilograms of sugar. She had to pay Rs 880 for it. Calculate the sugar and tea content per kilogram.

(6) Locations A and B are 30 kilometers apart and on a straight path. Hamid rides his bike from point A to point B. At the same time, Joseph gets on his bike and rides from B to A. After 20 minutes, they finally meet. Hamid would have captured Joseph after 3 hours if he had begun from B at the same time but in the opposite direction (instead of towards A). Find out how fast Hamid and Joseph are.

### Which equation does the graph of the systems of equations solve?

We know that any two-variable linear equation can be written as y=mx+b, and that its graph is a line. We will see in this section that every quadratic equation of the form y=ax2+bx+c has a curved graph known as a parabola. The graph of any quadratic equation y=ax2+bx+c, where a, b, and c are real numbers, and a0 is an imaginary number.

Any line is described by two points. We can, however, find more than two points because a parabola is curved. We will specify at least five points in this text as a means of producing an acceptable sketch. To begin, we plot points to create our first parabola. The independent variable is x, and the dependent variable is y in the quadratic equation y=ax2+bx+c. Determine the corresponding y-values after selecting some x-values. Then draw the graph and map the lines.

We want to include those special points in the graph when graphing. The y-intercept is the point on the y-axis where the graph intersects. The x-intercepts are the points on the x-axis where the graph intersects. The vertex is the intersection of two lines. The point on a parabola that determines its minimum and maximum values. is the point on the graph that determines the graph’s minimum and maximum values. Finally, there’s the symmetry thread. The symmetrical parabola about which the vertical line x=b2a passes through the vertex. (also known as the symmetry axis) The vertical line through the vertex, through which the parabola is symmetric, is referred to as the line of symmetry.