Answer:
x = - 26 , y = - 3
Step-by-step explanation:
- [tex]\frac{4}{5}[/tex] x + 7y = - [tex]\frac{1}{5}[/tex] ( multiply through by 5 to clear the fractions )
- 4x + 35y = - 1 → (1)
[tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{3}[/tex] y = - 12 ( multiply through by 6 to clear the fractions )
3x - 2y = - 72 → (2)
Multiplying (1) by 3 and (2) by 4 and adding will eliminate the x- term
- 12x + 105y = - 3 → (3)
12x - 8y = - 288 → (4)
Add (1) and (2) term by term to eliminate x
97y = - 291 ( divide both sides by 97 )
y = - 3
Substitute y = - 3 into (2) and solve for x
3x - 2(- 3) = - 72
3x + 6 = - 72 ( subtract 6 from both sides )
3x = - 78 ( divide both sides by 3 )
x = - 26
Then x = - 26 , y = - 3 is the solution
