Question

Two lines, A and B, are represented by the equations given below:

Line A: 2x + 2y = 8
Line B: x + y = 4
Which statement is true about the solution to the set of equations?

Answer 1

A.it is (8.4)
B.it is (4,8)
C.There is no solution
D. Infinitely many solutions

Answer 2

2x + 2y = 8<---e1
x + y = 4 <---e2
Start by isolating x by subtracting it
y=4+x
now that we know the value of y we simply plug it into e1
2x+2(4+x)=8
solve for x

Answer 3

so it will be 0?

Answer 4

Correct :)
Now take
x=0 and plug it into e2
y=4+0
4+0=?

Answer 5

4
so will it be D?

Answer 6

I messed up
x+y=4 for x:
x+y+−y=4+−y(Add -y to both sides)
x=−y+4
Step: Substitute−y+4 fo rx in 2x+2y=8:
2x+2y=8
2(−y+4)+2y=8
8=8(Simplify both sides of the equation)
8+−8=8+−8(Add -8 to both sides)
0=0
Therefore D is indeed correct :-)

Answer 7

Thank you so so so much!!!!!!!!!!!!!

Answer 8

yw ^_^