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34 votes
34 votes
4x+11y=7

4x+3y=-1
what are the steps

User Chris Conlan
by
3.1k points

2 Answers

13 votes
13 votes

Answer:

x = -1 , y = 1

Explanation:

Starting with x

x = 7 - 11y/4

4 × 7-11y/4 + 3y = -1

7 - 8y = -1

Now for y

7-8y = -1 ⇒ y = 1

Hence, x = -1 and y = 1

[RevyBreeze]

User Bpoiss
by
3.0k points
5 votes
5 votes

Answer:

x = -1, y = 1

Explanation:

Given that:


\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}

Isolate x for 4x + 11y = 7 which ⇒
x=(7-11y)/(4)

Substitute
x=(7-11y)/(4) into the equation: which is:


\begin{bmatrix}4\cdot (7-11y)/(4)+3y=-1\end{bmatrix}

Drop Down to:


\begin{bmatrix}7-8y=-1\end{bmatrix}

Isolate y for 7-8y = -1: y = 1

Thus,
x=(7-11y)/(4)

Substitute y = 1

Hence,


x=(7-11\cdot \:1)/(4)=-1

Solution ⇒ x = -1 and y = 1

~learn with lenvy~

User Karim Tarabishy
by
2.6k points