Question

[6.03] What is the value of the x variable in the solution to the following system of equations?
2x + 3y = 1
3x - 4y = 10

2

-1

1

-2

Answer 1

2x+3y=1
3x-4y=10

one way to solve this is by multiplying each side of the equation by a number to make either x or y opposite each other...didnt explain that very well so i will show it to you by an equation.
3(2x+3y=1)=6x+9y=3
-2(3x-4y=10)=-6x+8y=-20
then add the two sides together to isolate the variable.
6x+9y=3
-6x+8y=-20
17y=-17
y=-1
then plug that back into the equation
2x+3(-1)=1
2x+-3=1
2x=4
x=2
y=-1
(2,-1)

Answer 2

Ok, thx so much!