Question

Use the Substitution Method to solve the following system of equations.
2x + y = 3
-3x + 4y = 1

I forgot a lot about math over summer, can someone please explain to me how to do this?

Answer 1

first from the equation 3x + 4y = 1, solve for the value of x..can u do it..?

Answer 2

-3x + 4y = 1 rather...

Answer 3

Would I go
-3x = 1 - 4y?

Answer 4

Alternatively solve for y from the firts equation that may be comapartively easier..
from 1st eq. we have
y = 3-2x

Answer 5

yes matricked is right,.. i thing its more easy...

Answer 6

oh ok i see, and then what would I do from there? I am not the best at this sorta thing.

Answer 7

now plug in 3-2x in place of y in the 2nd eq. -3x+4y=1
after substituting we have
-3x +4 (3-2x) = 1
ihope you can do the rest now...

Answer 8

a. (1, 1)
b. (-1, -1)
c. (1, -1)
d. (-1, 1)

the multiple choice says this, if can someone please explain to me what the answer is and why that would be very helpful.

Answer 9

-3x +4 (3-2x) = 1
or
-3x +12 -8x = 1
or -3x -8x = 1-12
-11x = -11
henc x = 1
now we need y
we can obtain it from y=3-2x
as we know x=1
so y=3 -2(1)=3-2=1
thus the solution is x=1 and y=1
in the choice the first number is for x and the last one for y
so here
we have
a. (1, 1)