Solve for y, then find the value of y when given x = –2.
6x = 7 – 4y
if x= -2
we get
-12 = 7-4y
4y = 19
y = 19/4
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Oh dear, solving equations can be quite a juggling act! Let's see if we can find the punchline together.
Starting with the equation 6x = 7 - 4y, we'll isolate y.
Subtracting 7 from both sides, we get 6x - 7 = -4y.
To untangle y, we need to divide both sides by -4:
(6x - 7) / -4 = y.
Now, let's plug in x = -2 and see what y pops out!
Substituting x with -2, we have:
(6 * -2 - 7) / -4 = y.
Simplifying, we get (-12 - 7) / -4 = y.
Doing more arithmetic, (-19) / -4 = y.
Finally, dividing -19 by -4 yields a y-value that makes us smile:
y = 4.75.
So when x = -2, y is equal to 4.75. Keep up the good work, math is just another act in life's circus!
To solve for y, we need to isolate the variable y on one side of the equation. Let's begin solving the equation step-by-step:
Step 1: Distribute the coefficient of x to both terms inside the parentheses:
6x = 7 - 4y
Step 2: Simplify the equation:
6x = 7 - 4y
Step 3: Move the constant term (7) to the other side of the equation by subtracting 7 from both sides:
6x - 7 = -4y
Step 4: Divide both sides of the equation by -4 to isolate y:
(6x - 7) / -4 = y
Now that we have solved for y in terms of x, we can determine the value of y when x = -2.
Replacing x with -2 in the equation, we get:
y = (6*(-2) - 7) / -4
Simplifying the equation further:
y = (-12 - 7) / -4
y = (-19) / -4
Finally, dividing -19 by -4 gives us:
y = 19/4
Therefore, when x = -2, y = 19/4.