Question

Review the graphs of a system of two linear equations and two variables: x - 5y = 7 and 3x - 2y = -4 write the answer in the intersection point

Answer 1

The graphs of the two linear equations can be plotted on a graph, with one line representing each equation. The point at which the two lines intersect corresponds to the solution of the system of equations.

The equations are as follows:

1) x - 5y = 7
2) 3x - 2y = -4

To find the intersection point, we can solve the system of equations simultaneously:

x - 5y = 7
3x - 2y = -4

Multiplying the first equation by 3 and the second equation by 1, we get:

3x - 15y = 21
3x - 2y = -4

Subtracting the second equation from the first, we get:

-13y = 25
y = -25/13

Substitute y = -25/13 back into the first equation to solve for x:

x - 5(-25/13) = 7
x + 125/13 = 7
x = 7 - 125/13
x = 56/13

Therefore, the intersection point of the two lines is (56/13, -25/13).