Answer:
(- 1, 3 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 7 → (1)
2x + 7y = 19 → (2)
In (1) subtract 3y from both sides
2x = 7 - 3y → substitute into (2)
7 - 3y + 7y = 19
7 + 4y = 19 ( subtract 7 from both sides )
4y = 12 ( divide both sides by 4 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(3) = 7
2x + 9 = 7 ( subtract 9 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
solution is (- 1, 3 )
