Question

Solve each by elimination 4x - 9y = 61 10x + 3y = 25

Answer 1

Answer:

(4,-5)

Step-by-step explanation:

Hi there!

The problem asks us to solve by elimination, where we will add the two equations together to clear one variable, solve for the other variable, and then substitute the value of the other variable to find the value of the first variable

here's the system:

4x-9y=61

10x+3y=25

we'll clear y to start

multiply the second equation by 3

3(10x+3y)=3(25)

30x+9y=75

  4x-9y=61

now add the equations together (the 9y's clear because one is positive and another is negative)

34x=136

divide by 34

x=4

the value of x is 4

now to find y:

substitute the value of x into either one of the equations to solve for y

if we were to do the first equation for example:

substitute x as 4 into the equation

4(4)-9y=61

multiply

16-9y=61

subtract

-9y=45

divide

y=-5

so the answer is x=4, y=-5. If you need it as a point, it's (4,-5)

Hope this helps! :D