SOLUTION: Use the substitution method to solve each linear system.
a) x-2y=7
y=-x+1
b) x+3y=5
-2x+y=4
c) -x+3y+1=0
3x-y+1=0
d) 4x-3y=-13
-2x+y=4
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Linear-equations
-> SOLUTION: Use the substitution method to solve each linear system.
a) x-2y=7
y=-x+1
b) x+3y=5
-2x+y=4
c) -x+3y+1=0
3x-y+1=0
d) 4x-3y=-13
-2x+y=4
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Question 1014328: Use the substitution method to solve each linear system.
a) x-2y=7
y=-x+1
b) x+3y=5
-2x+y=4
c) -x+3y+1=0
3x-y+1=0
d) 4x-3y=-13
-2x+y=4 Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website! .
Use the substitution method to solve each linear system.
a) x-2y=7
y=-x+1
b) x+3y=5
-2x+y=4
c) -x+3y+1=0
3x-y+1=0
d) 4x-3y=-13
-2x+y=4
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Hello,
our goal in this site is to teach you, to show you, to help you.
And not to work instead of you.
THEREFORE, I will show you how to solve only one of these examples.
You will do the rest yourself.
a)
x - 2y = 7 (1)
y = -x + 1 (2)
Substitute y expressed via x from (2) to (1).
You will get
x - 2*(-x + 1) = 7.
Simplify it:
x + 2x - 2 = 7,
3x = 7 + 2,
3x = 9,
x = = 3.
Now substitute the found value of x into (2). You will get
y = -3 + 1 = -2.
As the last step, check you solution.
For it, substitute x = 3 and y = -2 into the original equations.
Please do it yourself.
