Respuesta :
y = -x + 1
y = 4x - 14
To solve this system via elimination, we would need to multiply the top equation by 4, and then add both equations.
4(-x + 1)
-4x + 4
Now we're left with two equations:
4y = -4x + 4
y = 4x - 14
Add both equations.
5y = -10
Divide both sides by 5.
y = -2
Because we have a constant value for y, we can solve for x:
y = -x + 1
-2 = -x + 1
Add x to both sides.
x - 2 = 1
Add 2 to both sides.
x = 3
Elimination method is the method to solve the two linear equation by eliminating one of the variable from the system.on solving the given equations by the elimination method we get the value of x variable is 3 and the other variable y is -2.
Given-
Given equations are,
[tex]y=-x+1[/tex]
[tex]y=4x-14[/tex]
What is elimination method?
Elimination method is the method to solve the two linear equation by eliminating one of the variable from the system.
Let suppose the equations as equation one and two.In the first equation the value of y is given in terms of x. Write down the second equation again
[tex]y=4x-14[/tex]
Put this value of y in second equation, we get,
[tex]-x+1=4x-14[/tex]
Arrange the equation by taking the same power variable one side,
[tex]1+14=4x+x[/tex]
[tex]15=5x[/tex]
[tex]x=\dfrac{15}{5}[/tex]
[tex]x=3[/tex]
Thus the value of the one variable is 3. Put this value of variable x in first
equation.
[tex]y=4x-14[/tex]
[tex]y=4\times3-14[/tex]
[tex]y=12-14[/tex]
[tex]y=-2[/tex]
Hence, on solving the given equations by the elimination method we get the value of x variable is 3 and the other variable y is -2.
Learn more about the elimination method here;
https://brainly.com/question/11342812
