There is no solution.
Step-by-step explanation:
Given:
y = 2x + 1
4x - 2y = 4
Substitute y = 2x + 1 into 4x - 2y = 4
4x - 2(2x + 1) = 4
4x - 4x - 2 = 4
0x = 4 + 2
0x = 6
Anything to the multiple of zero is zero. Hence 0x = 0, and 0 ≠ 6
So there is no solution to the equation.
<h3><u>The value of y is equal to 1.</u></h3>
7(y - 3) = 2(y - 9) + 2y
Distributive property.
7y - 21 = 2y - 18 + 2y
Combine like terms.
7y - 21 = 4y - 18
Subtract 4y from both sides.
3y - 21 = -18
Add 21 to both sides.
3y = 3
Divide both sides by 3.
y = 1
<span>Simplifying
y(2x + 3y)(2x + 3y)
Multiply (2x + 3y) * (2x + 3y)
y(2x * (2x + 3y) + 3y * (2x + 3y))
y((2x * 2x + 3y * 2x) + 3y * (2x + 3y))
Reorder the terms:
y((6xy + 4x2) + 3y * (2x + 3y))
y((6xy + 4x2) + 3y * (2x + 3y))
y(6xy + 4x2 + (2x * 3y + 3y * 3y))
y(6xy + 4x2 + (6xy + 9y2))
Reorder the terms:
y(6xy + 6xy + 4x2 + 9y2)
Combine like terms: 6xy + 6xy = 12xy
y(12xy + 4x2 + 9y2)
(12xy * y + 4x2 * y + 9y2 * y)
(12xy2 + 4x2y + 9y3)</span>
Answer:
x = 90°
y = 90°
Step-by-step explanation:
The angle indicated with a box shape is a right angle = 90°
Thus:
x corresponds to 90°. Therefore,
x = 90°
✔️y = 180 - x (linear pair theorem)
y = 180 - 90 (substitution)
y = 90°
Answer: 5 1/2
Step-by-step explanation:
12 5/6 - 7 1/3
Find an equivalent fraction for 7 1/3
12 5/6 - 7 2/6
5 3/6
Simplify
5 1/2
