Solve by elimination. Check each solution.

a) 38 = 2x - 5y
75 = 7x - 3y

b) 6x + 5y = 22
3y= 4x + 36

Question

Solve by elimination. Check each solution.

a) 38 = 2x - 5y
    75 = 7x - 3y

b) 6x + 5y = 22
    3y= 4x + 36

theopenstudyowl · Answer

make one of the terms have the same number in both equations and then subtract.....

shelby1290 · Answer

@theopenstudyowl how do you do that?

usukidoll · Answer

shall we start on this problem first?

a) 38 = 2x - 5y
    75 = 7x - 3y

usukidoll · Answer

so... let's eliminate the x first  
we do this through multiplication..
the first equation must be negative 
because when we add numbers...  for example if I have -7x +7x the  x cancels out...
so looking at the x term only we have 2x and 7x.

usukidoll · Answer

I need to multiply the first equation by -7 and multiply the second equation by 2
because our goal is to create the same number and if we're going to add..at least one of the numbers must be negative to get rid of our x.

usukidoll · Answer

$$-7(38=2x-5y)$$
$$2(   75 = 7x - 3y )$$

usukidoll · Answer

welcome back :)

shelby1290 · Answer

sure

usukidoll · Answer

so can you distribute the -7 in the first equation and the 2 in the second equation ?

shelby1290 · Answer

lol sorry i was having wifi problems

usukidoll · Answer

oh that's ok... my isp provider is bad too :P

shelby1290 · Answer

|dw:1434511952976:dw|