Question #2077b

1 Answer
May 16, 2017

Answer: (7/2,1)

Explanation:

Solve:
2x+3y=10
5x+2y=19.5

We can solve this system of equations by elimination.
First, we need to multiply the first equation by 5 and the second equation by 2 to make the x coefficient same for both equations:
5(2x+3y=10)
10x+15y=50

2(5x+2y=19.5)
10x+4y=39

Since the x coefficient for both equations is now 10, we can subtract the second equation from the first equation and simplify:
10x+15y-(10x+4y)=50-39
10x+15y-10x-4y=11
11y=11
y=1

Now, we can substitute this y value into one of the original equations and solve for x, we'll use the first one:
2x+3(1)=10
2x+3=10
2x=7
x=7/2

Therefore, our answer as a coordinate is (7/2,1)