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2 votes
Solve the solution of equations.

3x + 4y = -23

X = 3y + 1

X =

Y =

2 Answers

3 votes

Answer:

x = -5

y = -2

Explanation:

User Villi
by
6.4k points
2 votes

Answer:

x = -5

y = -2

Explanation:


\left\{\begin{array}{ccc}3x+4y=-23&(1)\\x=3y+1&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\3(3y+1)+4y=-23\qquad\text{use the distributive property}\\\\(3)(3y)+(3)(1)+4y=-23\\\\9y+3+4y=-23\qquad\text{subtract 3 from both sides}\\\\13y=-26\qquad\text{divide both sides by 13}\\\\\boxed{y=-2}\\\\\text{Put the value of }\ y\ \text{to (2)}:\\\\x=3(-2)+1\\\\x=-6+1\\\\\boxed{x=-5}

User Krishnamurthy
by
6.0k points