Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no so

Question

weqwewe [10]

3 years ago

11

Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no so

lution or infinitely many solutions.
3x - 2y = 11

x - y/2 = 4

Mathematics

1 answer:

Colt1911 [192] · Answer 1 · 2022-07-16T11:06:32+03:00

Colt1911 [192]3 years ago

5 0

X - y/2 = 4
x - 4 = y/2
2(x - 4) = y
2x - 8 = y.....so we sub in 2x - 8 in for y in the other equation

3x - 2y = 11
3x - 2(2x - 8) = 11
3x - 4x + 16 = 11
-x = 11 - 16
-x = -5
x = 5

2x - 8 = y
2(5) - 8 = y
10 - 8 = y
2 = y

It has one solution and it is (5,2)