Answer: x=-2 and y=-2
Step-by-step-explaination:
To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get
2(2x) +2(y) = 2(-6)
4x + 2y = -12
Next, subtract the second equation from the first to cancel out the y’s
4x + 2y =-12
-(-8x + 2y = -12)
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12x = -24
Solve
X = -24/12
X=-2
Plug x into the original equation to find y
2(-2) + y = -6
-4 + y = -6
Y = -6 +4
Y=-2
You can substitute x and y into the original equations to double check
Answer: Approximately 96 square feet
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Work Shown:
1 ft = 30 cm
1 ft = (5*6) cm
1 ft = 5*(6 cm)
1 ft = 5*(1 board width)
1 ft = 5 board widths
12*(1 ft) = 12*(5 board widths)
12 ft = 60 board widths
12 ft = 1 full wall length
The wall is 12 feet horizontally across and 8 feet tall, so its estimated area is 12*8 = 96 square feet approximately. This is approximate because of the fact we used the approximation of 1 ft = 30 cm.
Answer:
Hi! The correct answer is x = -1 y = -1 and the ordered pair is (-1,-1)
Step-by-step explanation:
<em><u>~Solve the first variable in one of the equations, then substitute the result into the other equation~</u></em>
Answer/Step-by-step explanation:
The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:
4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given
Apply the distributive property to open the parentheses
4*2a + 4*3 = -3*a -3*-1 + 31 - 11a
8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property
Combine like terms together
8a + 12 = 3 + 31 -3a - 11a
8a + 12 = 34 - 14a ---› Combining like terms
Add 14a to both sides
8a + 12 + 14a = 34 - 14a + 14a
22a + 12 = 34 ----› Addition property
Subtract 12 from both sides
22a + 12 - 12 = 34 - 12
22a = 22 ----› subtraction property of equality
Divide both sides by 22
22a/22 = 22/22
a = 1 ----› Division property of Equality
Answer:
A and B
Step-by-step explanation:
Adjacent angles are angles that share a common vertex
More specifically adjacent angles are next to each other.
The two angles that are next to ∠3 are ∠4 and ∠2 therefore the correct answer would be A and B
