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Divide the second equation by 2 and solve it for x You will get x=13-4y Put that into the first equation in place ofx
i would use the 2nd equation to substitute because the numbers are more simple. get down to x =( ) so 2x +8y = 26 2x = 26 -8y x = (26 - 8y)/2 x = 13 -4y now you can replace this x into the other equation 5x - 7y = -16 replace the x 5(13 - 4y) - 7y = -16 65 - 20y - 7y = -16 solve for y -27y = -71 y = 3 replace y=3 into any equation to find x 2x + 8y = 26 2x + 8(3) = 26 2x + 24 = 26 2x = 2 x =1 y = 3
Ok mertsj I am still confused
Can you divide the second equation by 2?
Ok I got that part
Now subtract 4y from both sides.
so 4y-y7 and 13-4y
So do you know how to substitute that in the other equation?
Do you play a sport?
A team sport?
Do you watch sports on tv?
Well I thought you might know what it means when the coach substitutes one player for another. Any way, we have to take that name for x that we just found and replace x with it.
would you divide the other side by 2 as weel
Do you understand what I just did?
Now use the distributive property and collect like terms
now math is my worst subject how do you do that
Do you get that?
now how did you get that
The 5 outside the parentheses means to multiply everything in the parentheses by 5.
So I multiplied 5 by 13 and got 65. Then I multiplied -4y by 5 and got -20y
Now -20y and -7y are like terms and they should be combined.
ok got that
so would it be 27y
Now subtract 65 from both sides.
It's actually -27y
ok got that part
Now divide both sides by -27
so would it be -27y/-27y and -16/-27y
Did you subtract 65 from BOTH SIDES?
yes I did than what do I do
So what do you have now? Then I can tell you what to do next.
this is all I have down
Do you have -27y=-81 ?
5x − 7y = −16 5(13-4y)-7y=-16 5(13-4y)=65-20y 65-20y-7y=-16 -20y+-7y=-27y 65-27y=-16 -65 -65 ----------- -27y/-27y=-81/-27 y=3 2x/2 + 8y/2 = 2b/2 x + 4y = 13 -4y -4y x=13-4y
So yes. y=3.
x=13-4y so replace y with 3 and find x
x=13-4(3) x=13-12 x=1
ok and that how both of them end
-27y/-27y=-81/-27 That is a step you did. You should have divided by -27 and NOT by y just -27
So yes. The solution is x = 1 and y = 3 which is the ordered pair (1,3) And if you would graph those equations, the two lines would cross at the point (1,3)
ok but its just says solve so I don't have to graph it right
That's right. You don't have to graph it. I just wanted you to know the connection between the solution of the system and the graph.
oh ok great thank you so much you really helped
have a good night