Answer:
The correct answer is x = 3 and y = 2.
Step-by-step explanation:
There are many ways to solve systems of equations like this, but I'm going to use substitution. This means taking the value of y given by the second equation and plugging it into the first equation. This is modeled below:
2x - y = 4
2x - (-2x+8) = 4
Now, we can simplify the left side of the equation.
2x + 2x - 8 = 4
4x - 8 = 4
We should add 8 to both sides as the next step.
4x = 12
Now we can divide by 4.
x = 3
To solve for y, we can substitute this value found for x back into either one of our original equations.
y = -2x + 8
y = (-2*3) + 8
y = -6 + 8
y = 2
Therefore, the correct answer is x = 3 and y = 2.
Hope this helps!
Answer:
Step-by-step explanation:
-3x +12 =x-4
+3x
12 = 4x -4
+4
16 = 4x
Divide by 4
4 = x
If you would like to know the solution to the system of equations, you can do this using the following steps:
y = –5x + 3
<span>y = 1
</span>_______________
1 =<span> –5x + 3</span>
5x = 3 - 1
5x = 2 /5
x = 2/5 = 0.4
(x, y) = (0.4, 1)
The correct result would be (0.4, 1<span>).</span>
Answer:
x= 7
Step-by-step explanation:
The equation is 8+4= 2(x-1)
Distribute into the parenthesis.
8+4= 2x-2
Now, add.
12= 2x-2
Add 2 to both sides.
12= 2x-2
+2 +2
Then, divide by 2 to both sides to isolate the variable.
<u>14</u>= <u>2x</u>
2 2
x=7