Can you please check to see if these are right? We have to set each of them to y. Thank You.
x-y=-3: y=-3x
2x+y=5: y=5-2x
2x+y=8: y=8-2x
First one is wrong
x-y=-3
-y = -x - 3
y = x + 3
(A) y =x+3
(B) correct
(C) correct
To check if the equations are correct, we can substitute the value of y into each equation and see if it satisfies the equation. Let's verify them:
1. x - y = -3:
To set y to -3x, we replace y with -3x in the equation:
x - (-3x) = -3
x + 3x = -3
Combining like terms: 4x = -3
Dividing by 4: x = -3/4
Now let's substitute x = -3/4 into the equation:
-3/4 - y = -3
Subtracting -3/4 from both sides: - y = -3 + 3/4
Simplifying: - y = -12/4 + 3/4
Combining like terms: - y = -9/4
Dividing by -1 (to isolate y): y = 9/4
Therefore, y = 9/4 satisfies the equation x - y = -3.
2. 2x + y = 5:
To set y to 5 - 2x, we replace y with 5 - 2x in the equation:
2x + (5 - 2x) = 5
Expanding: 2x + 5 - 2x = 5
Combining like terms: 5 = 5
Since the left-hand side (5) is equal to the right-hand side (5), this equation is true for all values of x and y. Therefore, y = 5 - 2x satisfies the equation 2x + y = 5.
3. 2x + y = 8:
To set y to 8 - 2x, we replace y with 8 - 2x in the equation:
2x + (8 - 2x) = 8
Expanding: 2x + 8 - 2x = 8
Combining like terms: 8 = 8
Similar to the previous equation, this equation is true for all values of x and y. Therefore, y = 8 - 2x satisfies the equation 2x + y = 8.
In conclusion, all three equations are correct when y is set to the given expressions.