Answer:
[tex]\boxed{x = 7~~and~~y = -3}[/tex]
.
Step-by-step explanation:
5x + 3y = 26 (times 6) 30x + 18y = 156
6x + 7y = 21 (times 5) 30x + 35y = 105
.
30x + 18y = 156
30x + 35y = 105
-17y = 51
[tex]y = \frac{51}{-17}[/tex]
y = -3
.
Substitute the value of y to one of equations
6x + 7y = 21
6x + 7(-3) = 21
6x - 21 = 21
6x = 21 + 21
6x = 42
[tex]x = \frac{42}{6}[/tex]
x = 7
