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Sole by substitution.
-3x+2y=16
X-2y=-12

User Alerty
by
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2 Answers

0 votes
Answer: (-2,5)

Step 1: Rewrite equations

-3x+2y=16

x-2y=-12

Step 2: Changing the second equation

With substitution, you have to already have the equation to solve for the specific variable (ex: x=y+1;y=x+1). Since the equation doesn’t give us one, we can flip the second equation to give us this.

Let’s add 2y on both sides.

x-2y=-12
+2y +2y
_________
x=2y-12

Now we have the equation to solve for x!

Step 3: Substituting

Now we need to substitute x into the first equation. Let’s do this now.

-3(2y-12)+2y=16

Step 4: Solving for y

-3(2y-12)+2y=16

*distribute*

-6y+36+2y=16

*combine like terms*

-4y+36=16

*subtract 36 on both sides*

-4y=-20

*divide both numbers by -4*

y=5

This is y! Now we need to solve for x.

Step 5: Solving for x

To find x, let’s just substitute y into the equation and solve

x=2y-12

x=2(5)-12

x=10-12

x=-2

Step 6: Ordered pair

(X,y) —> (-2,5)


This is your answer! Hope this helps comment below for more questions :)
User Thaer A
by
6.7k points
3 votes

Answer:

For the given equations the values of x and y by using substitution method are
x=1 and
y=(13)/(2)

Explanation:

Given system of equations are


-3x+2y=16\hfill (1)


x-2y=-12\hfill (2)

Solve the given equations by substitution method:

Now (2) implies


x-2y=-12


x=-12+2y\hfill (3)

Now substitute the x value in equation (1)


-3x+2y=16


-3(-12+2y)+2y=16


36-6y+2y=16


36-4y=16


-4y=16-36


y=-((-26)/(4))


y=(26)/(4)

Therefore
y=(13)/(2)

Now substitute the y value in equation (3)


x=-12+2y


x=-12+2* (13)/(2)


x=-12+13


x=1

Therefore
x=1 and
y=(13)/(2)

User Legrandviking
by
6.9k points