Question

Solve by substitution method:
y = -2x + 3
3x - 2y = 8

A. no solution
B. (14, -25)
C. (-14, 31)
D. (2, -1)

Answer 1

hi !

do you know what mean substitution ?

Answer 2

so in the first equation there is a value of y

than just need to substitute it in second equation in place of y and calculi the x

ok ?

Answer 3

okay

Answer 4

so after that you just substitute the value of x inside one equation in place of x and will get the value of y

ok ?

Answer 5

so let you try ,i like see your calculi

ok ?

Answer 6

y = -2x + 3
now sub -2x + 3 in for y in the other equation
3x - 2y = 8
3x - 2(-2x + 3) = 8
can you take it from here ?

Answer 7

x = 2

Answer 8

3x - 2(-2x + 3) = 8
3x + 4x - 6 = 8
3x + 4x = 8 + 6
7x = 14
x = 2
correct.
Now sub 2 in for x in either of the equations to find y

Answer 9

y = -2x + 3
3x - 2y = 8

3x - 2 (-2x+3)=8
3x +4x-6=8
7x-6=8/+6
7x=14/:7
x=2

y=-2x+3
y=-2 * 2 +3
y=-4 + 3
y=-1

Answer 10

oh well..nvm...you just got the answer handed to you. I hope you fully understand how to do these types of problems.