If -2x+3=7 and 3x+1=5+y, the value of y is:
A. 1
B. 0
C.-10
D.10
????
O.K. Thank you do you mined telling me how you solved it?
To find the value of y, we need to solve the equations:
-2x + 3 = 7 (Equation 1)
3x + 1 = 5 + y (Equation 2)
First, we can solve Equation 1 for x. We want to isolate x, so we'll subtract 3 from both sides:
-2x + 3 - 3 = 7 - 3
-2x = 4
Next, we'll divide both sides by -2 to solve for x:
-2x / -2 = 4 / -2
x = -2
Now, we can substitute the value of x into Equation 2:
3(-2) + 1 = 5 + y
-6 + 1 = 5 + y
-5 = 5 + y
To solve for y, we'll subtract 5 from both sides:
-5 - 5 = 5 + y - 5
-10 = y
Therefore, the value of y is -10. So the correct answer is C. -10.
To find the value of y, we need to solve the given system of equations:
Equation 1: -2x + 3 = 7
Equation 2: 3x + 1 = 5 + y
Let's begin by solving Equation 1:
-2x + 3 = 7
Subtract 3 from both sides to isolate the term with x:
-2x = 7 - 3
-2x = 4
Now, divide both sides by -2 to solve for x:
x = 4 / -2
x = -2
Next, substitute the value of x into Equation 2:
3(-2) + 1 = 5 + y
Simplify the left side of the equation:
-6 + 1 = 5 + y
-5 = 5 + y
Subtract 5 from both sides to isolate the term with y:
-5 - 5 = y
-10 = y
Therefore, the value of y is -10. So, the correct answer is C. -10.