Question

solve this by using the elimination method

2x + 5y = 13
3x - 4y = 8

Answer 1

multiply all of the values in the upper equation by 3, and multiply all the values in the lower equation by -2.

Answer 2

Then the two equations become:

6x+15y=39
-6x+8y=-16

Answer 3

Based from this, can you solve?

Answer 4

@KateNicole ?

Answer 5

sorry, no probably not, I need to see all of the work to understand, and since the class is online I usually dont get most of it at first

Answer 6

ah i see okay

Answer 7

then, i will show you the rest of the process:

6x+15y=39---------> 23y=23
-6x+8y=-16 --------> y=1

Answer 8

now that we know that y=1, we can use this to find the x-variable

Answer 9

2x+5(1)=13
2x+5=13
-5 -5
2x=8
/2 /2
x=4

3x-4(1)=8
3x-4=8
+4 +4
3x=12
/3 /3
x=4

Answer 10

by proving both of the equations, we have confirmed that y=1 and x=4

Answer 11

Does that make sense? @KateNicole ?

Answer 12

More sense then it made before, thanks, I can probably do the rest of them now:)

Answer 13

im glad :)