Question

Need help with 1 Question! (Question Inside) [MEDAL & FAN]

Answer 1

@anwaarullah

Answer 2

multiplyv2nd equation with 2vthen add both equations

Answer 3

I know the final answer is (1,4) but I need the steps.

Answer 4

3.25x-y=.75 multiply both sides with 2

6.50x-2y=3.75

Answer 5

now get rid off y by adding two equations

Answer 6

-4.5x-2y=-12.5
6.5x -2y =3.75

Answer 7

add thses

Answer 8

@mathmate

Answer 9

2x= -8x

x=4

Answer 10

now put x=4in any equation to find y?

Answer 11

-4.5x - 2y= -12.5

-4.5*4 -2y=-12.5

Answer 12

@LetsLearn2000
If you would like to solve by substitution, as required by the question, this is what you do.
1. Make a choice of which variable out of x or y to be isolated and later substituted.
Here, I choose y, because the coefficient of the second equation is -1.
2. Isolate y (i.e., y=....) from the second equation
3.25x-y=-0.75.............(2)
transpose x to the right
-y=-0.75-3.25x
multiply throughout by -1
y=0.75+3.25x .............(2a)

Substitute (2a) into the first equation where y is
-4.5x-2y=-12.5.............(1)
-4.5x-2(0.75+3.25x)=-12.5
Distribute
-4.5x-1.5-6.5x=-12.5
simplify
-11x=-12.5+1.5
-11x=-11
Divide by -11
x=1...............(1a)

Put x into (2a) and solve for y
y=0.75+3.25(x).........(2a)
=0.75+3.25(1)
=4

So the answer is (1,4) as you stated earlier.

Answer 13

THANK YOU @mathmate

Answer 14

You're welcome! :)

Answer 15

Thanks for the effort @anwaarullah