Respuesta :
Answer:
(0.5, 4 )
Step-by-step explanation:
2x + 3y = 13 → (1)
4x - y = - 2 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
12x - 3y = - 6 → (3)
Add (1) and (3) term by term to eliminate y
14x + 0 = 7
14x = 7 ( divide both sides by 14 )
x = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex] = 0.5
Substitute x = 0.5 into either of the 2 equations and solve for y
Substituting into (1)
2(0.5) + 3y = 13
1 + 3y = 13 ( subtract 1 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
solution is (0.5, 4 )
