Solve the system of equations.
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5x + 4y = 24
x + 0.8y = 4.8
x = 4.8 - 0.8y
-5(4.8 - 0.8y) + 13y = -7
-24 + 4y + 13y = -7
17y - 24 = -7
17y = 17
y = 1
5x + 4(1) = 24
5x + 4 = 24
5x = 20
x = 4
The coordinate pair would be (4, 1) (x = 4, y = 1.)
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Answer:
(4, 1 )
Step-by-step explanation:
Given the 2 equations
- 5x + 13y = - 7 → (1)
5x + 4y = 24 → (2)
Adding the 2 equations term by term will eliminate the term in x, that is
17y = 17 ( divide both sides by 17 )
y = 1
Substitute y = 1 in either of the 2 equations
Substituting in (2)
5x + 4(1) = 24, that is
5x + 4 = 24 ( subtract 4 from both sides )
5x = 20 ( divide both sides by 5 )
x = 4
Solution is (4, 1 )