Question

Consider the following system of linear equations below. Part A graph the system of equations.

y= -4x+ 5. y= -4x-7. Part B determine the solution to the system of linear equations.

Answer 1

(a) The graph of the system of equations in the image attached.

(b) The solution of the two system of equations is (-12, 41).

How to solve the linear equation using graph?

The solution of the two system of equations can be obtained using graphing calculator as shown below.

The given system of equations;

y = -3x + 5

y = -4x - 7

To plot the graph, we can choose random values of x and calculate the corresponding values of y.

For example, when x = 0, the value of y is calculated as;

y(0) = 0 + 5 = 5

y(0) = 0 - 7 = -7

when x = 1, the value of y is calculated as;

y(1) = -3(1) + 5 = 2

y(1) = -4(1) - 7 = - 11

Thus, from the graph, the solution of the two system of equations = (-12, 41)