Respuesta :
Answer:
x=2, y=4
Step-by-step explanation:
In order to use elimination, we need to make one of the 2 variables x and y equal to each other in both equations. To do that, we need to multiply an equation. I'm going to eliminate x.
So, to do this, I multiply the first equation by 2-
2(2x+5y) = 2(24)
4x+10y= 48.
Now, I subtract both equations.
4x+10y= 48
- 4x+3y= 20
------------------------
7y= 28
y=4.
Now substitute y=4 into an equation. I'm gonna take the first one.
2x + 5y= 24
2x + 5(4)= 24
2x+20=24
2x=4
x=2.
Hope this helps!
Answer:
x=2 and y=4
Step-by-step explanation:
1. first you have to order both equations like this:
2x +5y =24
4x +3y =20
2. second you can multiply all the first equation by -2
-2(2x +5y =24)
4x +3y =20
***and you can get this*** (becareful with the signs)
-4x-10y=-48
4x +3y =20
well the next step that you are going to do is combine both equation *becareful with the signs*
and then you can eliminate x and you are going to left with this
-7y= - 28
after this you have to divide - 7 in both sides to solve for y
-7y= - 28
-7 -7
y=4
so now you know the value of y to solve for x do we need to use one of the original equations and solve for x
2x +5y =24 this is one of the original equations.
2x +5(4) =24. we change the y or y's for 4
2x+20 = 24 we multiply 5×4 to get 20
-20 -20 we substract the 20 in both sides
2x=4
2 2 and finally we divide 2 in both sides
x=2 and we get this.
in this part I'm going to solve for x using the other equation and you can see we get the same answer (in your work is not necessary write this part⬇️)***here are the same steps as the last one but just that I don't going to write the explanation to don't continuing making this too long***
4x +3y =20
4x+3(4)=20
4x+12=20
-12 -12
4x=8
4 4
x=2
I hope and this helps and I'm really sorry for make this very long.
