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Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.

y = 12x + 2
2y = x + 4

choose
The system of equations has no solution,infinitely many solutions, one solution The two equations represent parallel lines, the same lines, intersecting lines.

Sagot :

Answer:

The system of equations has one solution. The two equations are intersecting lines.

Step-by-step explanation:

if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.

2(12x+2)=x+4

next, you have to distribute

24x+4=x+4

subtract 24x from each side

4=-23x+4

subtract 4 from each side

0=23x

divide each side by 23

x=0

now, plug in 0 to one equation.

y=12(0)+2

y=2

the lines intersect at one point, (0,2)