Solve the system of linear equations using the substitution method.

-2x + 3y = 13

y = 7x-2

x = 1; y = 5

Step-by-step explanation:

-2x + 3y = 13 ;

y = 7x - 2

Since the second equation is already solved for y, substitute y of the first equation with 7x - 2.

-2x + 3y = 13

-2x + 3(7x - 2) = 13

-2x + 21x - 6 = 13

19x - 6 = 13

19x = 19

x = 1

Now substitute x of the second equation with 1 and solve for y.

y = 7x - 2

y = 7(1) - 2

y = 7 - 2

y = 5

Solution: x = 1; y = 5

step-by-step explan mxfcg'k; uafwgzfgjhklhgation: