Respuesta :
Answer:
(2, -2)
What is the elimination method?
Elimination is a method for a solving a system of two or more algebraic equations by transforming the system so that one of the variables cancels out.
Now, let's solve: (See Below)
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Steps:
Let's solve your system by elimination (required).
6x+2y=8;12x+y=22
Multiply the first equation by -2,and multiply the second equation by 1.
−2(6x+2y=8)
1(12x+y=22)
Becomes:
−12x−4y=−16
12x+y=22
Add these equations to eliminate x:
−3y=6
Then solve−3y=6for y:
−3y=6
[tex]\frac{-3y}{-3} =\frac{6}{-3}[/tex] (Divide both sides by -3)
y=−2
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
6x+2y=8
Substitute−2foryin6x+2y=8:
6x+(2)(−2)=8
6x−4=8(Simplify both sides of the equation)
6x−4+4=8+4(Add 4 to both sides)
6x=12
[tex]\frac{6x}{6} =\frac{12}{6}[/tex] (Divide both sides by 6)
x=2
Answer:
x=2 and y=−2
#SPJ1
Answer:
(2, - 2 )
Step-by-step explanation:
6x + 2y = 8 → (1)
12x + y = 22 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate y
- 24x - 2y = - 44 → (3)
add (1) and (3) term by term to eliminate y
- 18x + 0 = - 36
- 18x = - 36 ( divide both sides by - 18 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (1)
6(2) + 2y = 8
12 + 2y = 8 ( subtract 12 from both sides )
2y = - 4 ( divide both sides by 2 )
y = - 2
solution is (2, - 2 )
