Answer:
x + y = ±15
Step-by-step explanation:
Step 1: Write out systems of equations
x - y = 1
xy = 56
Step 2: Rearrange 1st equation
x = y + 1
Step 3: Substitution
(y + 1)y = 56
Step 4: Distribute
y² + y = 56
Step 5: Solve for <em>y</em>
y² + y - 56 = 0
(y - 7)(y + 8) = 0
y = -8, 7
Step 6: Plug in <em>y </em>to find <em>x</em>
x - 7 = 1
x = 8
x - (-8) = 1
x + 8 = 1
x = -7
Step 7: Find answer
x + y = ?
8 + 7 = 15
-7 + -8 = -15
So both 15 and -15 could be the answer.
Answer:
5 shirts (read explanation)
Step-by-step explanation:
14x+29=100
14x=71
x=5.1
She can buy 5 shirts
Step 1: Find the value of one variable in terms of the other.

Step 2: Substitute the value you just found for this variable in the other equation.

Step 3: Use your new value for the second variable to find the first.

Now that we know the values for a and b we can find the value of 4a+b.
Answer: x² + 4x - 32
Step-by-step explanation: So to multiply these two binomials together, let's use the F.O.I.L. method.
Remember, F.O.I.L. stands for First, Outter, Inner, Last.
This is because we start with the product of the first terms which is x², then we add the product of the outer terms which is 8x, then we add the middle terms which is -4x, and then we add the product of the last terms which is -32.
So we have x² + 8x + -4x + -32.
Combining the like terms 8x + -4x, our final answer is x² + 4x - 32.
Step-by-step explanation:
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