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1 vote
-x+4y= 29 6x+2y= -18

2 Answers

6 votes

Answer:

x=-5 and y=6

Explanation:

1) Isolate one of the variables in one of the equations, this means put move all other terms to the other side. In this case, isolate the -x, and make you get -x=29-4y.

2) Since -x is negative, we need to make it positive. We can do this by multiplying the entire equation by -1. The equation is now x=4y-29.

3) We can now use the substitution method. Do this by inserting the value of x in the first equation into the second one. We get 6(4y-29)+2y=-18.

4) Next, we can use the distributive property to simplify the equation. We do this by multiplying the 6 by the parentheses. We get 24y-174+2y=-18.

5) We can combine like terms, in this case, the y value to make the equation simpler. We get 26y-174=-18.

6) Next, solve the equation for y, we need to add 174 to cancel it out on one side and put it to the other. Then we divide by 26 to isolate and solve for y. We get y=6.

7) The last step is to solve for x. We do this by applying the value of y, which is 6 to the value of x in the first equation. We get x=4(6)-29. After simplifying the equation you get x=-5.

I hope this helps :)

User Chuk Lee
by
8.5k points
3 votes

Answer:

(- 5, 6 )

Explanation:

- x + 4y = 29 → (1)

6x + 2y = - 18 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate y

- 12x - 4y = 36 → (3)

add (1) and (3) term by term to eliminate y

(- x - 12x) + (4y - 4y) = 29 + 36

- 13x + 0 = 65

- 13x = 65 ( divide both sides by - 13 )

x = - 5

substitute x = - 5 into either of the 2 equations and solve for y

substituting into (1)

- (- 5) + 4y = 29

5 + 4y = 29 ( subtract 5 from both sides )

4y = 24 ( divide both sides by 4 )

y = 6

solution is (- 5, 6 )

User Eddie Awad
by
7.1k points

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