How many solutions does the system y = -7x + 3 and y + 7x = 10 have? Explain.

A. No solutions; the lines are parallel.
B. One solution; (0, -7)
C. Infinitely many solutions; the lines are the same.
D. No solutions; the lines are perpendicular.

Step-by-step explanation:

y = -7x + 3

y + 7x = 10 or y= -7x+ 10

no solution, because the b's are different but the rest of the function is the same

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

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: