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Solve the system using substitution. show all work

Solve the system using substitution. show all work-example-1
User Malfist
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Answer: x = 3, y = -1

Explanation:

=> 4x + 5y = 7 (Eq. 1)
=> y = 3x - 10 (Eq. 2)

Substitute value of ‘y’ from Eq. 2 in 1 :-

4x + 5y = 7
4x + 5(3x - 10) = 7
4x + 15x - 50 = 7
19x - 50 = 7
19x = 7 + 50
19x = 57
=> x = 57/19 = 3

Therefore, x = 3

Substitute value of ‘x’ in Eq. 2 :-

y = 3x - 10
y = 3(3) - 10
y = 9 - 10
=> y = -1

Therefore, y = -1
User Gco
by
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