Question

Given pair
of
Linear
equation
3x + 3y = 4
6x + 2y=6
is​

Answer 1

Answer:

x=5/6

y=1/2

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+3y=4;6x+2y=6

Step: Solve3x+3y=4for x:

3x+3y+−3y=4+−3y(Add -3y to both sides)

3x=−3y+4

3x/3=−3y+4/3

(Divide both sides by 3)

x=−y+4/3

Step: Substitute−y+4/3  for x in 6x+2y=6:

6x+2y=6

6(−y+4/3)+2y=6

−4y+8=6(Simplify both sides of the equation)

−4y+8+−8=6+−8(Add -8 to both sides)

−4y=−2

−4y/−4=−2/−4

(Divide both sides by -4)

y=1/2

Step: Substitute

1/2for y in x=−y+4/3:

x=−y+4/3

x=−1/2+4/3

x=5/6

Answer:

x=5/6 y=1/2

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