Help with this system of equations!! (explain step by step)
Help with this system of equations!! (explain step by step)
You can add the two equations together, this way you get:
5x = 25
You divide by 5:
x = 5
Now you just have to use this number in one of the original equations to get y:
x - 7y = -16
5 - 7y = -16 /subtract 5
-7y = -21 /divide by 7
-y = -3 /multiply with -1
y = 3
Hi
4x+7y=41
x-7y=-16
We need to solve x-7y=-16 for x
So let's start by adding 7y to both sides
x-7y+7y=-16+7y
x= 7y-16
Now substitute 7y-16 for x in 4x+7y=41
4x+7y=41
4(7y-16)+7y=41
35y-64=41
Add 64 to both sides so we can eliminate the other 64
35y-64+64=41+64
35y=105
We need to divide 35 to both sides so we find the value for y
35y/35=105/35
y=3
Now we have the y value, with they y value we can also find the x value by
substitute 3 for y in x=7y-16
x=7y-16
x=7(3)-16
x= 21-16
x= 5
Answer: x=5 and y=3
( 5,3)
I hope that's help:0