Answer:
(4,5)
Explanation:
Hi there!
We are given the system of equations:
5x+2y=30
-5x+4y=0
and we need to find the solution
there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable
When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively
5x+2y=30
-5x+4y=0
add the equations together
6y=30
divide both sides by 6
y=5
we found the value of y
now we need to find the value of x
substitute 5 as y into either one of the equations (ex. the first one) to solve for x
5x+2(5)=30
multiply
5x+10=30
subtract 10 from both sides
5x=20
divide both sides by 5
x=4
so the answer is x=4, y=5; as a point, it's (4,5)
Hope this helps! :)