Hey!
Here's how you would solve it with elimination:
-2x + 3y = 7
5x + 8y = -2
Multiply first equation by 5 and the second one by 2:
-10x + 15y = 35
10x + 16y = -4
Add the two equations:
-10x + 15y = 35
+
10x + 16y = -4
------------------------
31y = 31
y = 1
Plug this back into one of the original equation:
5x + 8y = -2
5x + 8(1) = -2
5x + 8 = -2
5x = -10
x = -2
Now you have your answer:
y = 1
x = -2
The solution to the system of linear equation by using the elimination method is x = -2 and y = 1
The elimination method involves equating two linear equations together in order to achieve the variables attached to the equations.
Given that:
−2x+3y = 7 ----- (1)
5x+8y = −2 ------ (2)
We will look for a value that we can use to multiply both equations where one variable will be eliminated.
Let multiply equation (1) to by 5 and equation (2) by 2, we have:
-10x + 15y = 35
+
10x + 16y = -4
31y = 31
y = 31/31
y = 1
From equation (1), let's replace y with (1);
-2x + 3(1) = 7
-2x + 3 = 7
-2x = 7 - 3
-2x = 4
x = - 4/2
x = -2
Therefore, the solution to the system of linear equation by using the elimination method is x = -2 and y = 1
Learn more about linear equations by elimination here:
https://brainly.com/question/11897796?referrer=searchResults
