2x + 4y = 160
1x + 4y = 72

x = 88; y = -4

Step-by-step explanation:

2(x+2y) = 160 --> x + 2y = 80

--> 1x + 4y - x - 2y = 72 - 80

--> 2y = -8 --> y = -4

--> x = 88

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.