A 6-inch-by-6-inch square grid shown below is divided into 36 squares, each with a side length of 1 inch. Each vertex of the 2 shaded triangles lies at an intersection of 2 grid lines. What fractional part of the 6-inch-by-6-inch square is shaded?

(2,3)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

Because y=5x-7, we can substitute 5x-7 into y in -3x-2y=-12.

-3x-2(5x-7)=-12

-3x-10x+14=-12

-13x+14=-12

-13x+14-14=-12-14

-13x=-26

x=2

We now substitute x=2 into y=5x-7.

y=5(2)-7

y=10-7

y=3