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Answer:
<h2>x = -347 1/2</h2>
Step-by-step explanation:
When solving algebra, it is important the we follow the steps in correct order and check our answer at the end.
Step 1: Simplify by combining like terms
y = -x/2 + 5/4 + 8y = -25
Step 2: Substitute
y = -25
-25 = -x/2 + 5/4 + 8(-25)
-25 = -x/2 + 5/4 + -200
-25 = -x/2 - 198 3/4
Step 3: Answer
x = -347 1/2
Step 4: Check
y = 3/2x + 5/4 −2x + 8y = −25
-25 = 3/2(-347 1/2) + 5/4 −2(-347 1/2) + 8(-25)
-25 = -25✔️
Step 5: Verified Answer
x = -347 1/2
I'm always happy to help :)
9514 1404 393
Answer:
x = 1 or 5
Step-by-step explanation:
The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...
Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.
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<em>Comment on "cross multiply"</em>
Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes <em>what the result looks like</em>. It doesn't adequately describe how you get there. The <em>one and only rule</em> in solving Algebra problems is "<em>whatever is done to one side of the equation must also be done to the other side of the equation</em>." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.
What looks like "cross multiply" is really "<em>multiply by the product of the denominators</em> and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.
Answer:
32 feet of fence
Step-by-step explanation:
The garden is a square, so the length and width are equal.
A = L x W
W = L
A = W²
A = 64
W² = 64
W = √64 = ±8 -- (-8) would be extraneous
W = 8 ft
L = 8ft
Since she is putting the fence around the garden, she needs to find the perimeter.
P = 2L + 2W
P = 2(8) + 2(8)
P = 16 + 16
P = 32 ft
32 feet of fence
Answer:
Step-by-step explanation:
x = 70 degree (being vertically opposite angles)
y + 70 degree =180 degree (being linear pair)
y = 180 - 70
y = 110 degree
In triangle,
x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)
70 + 60 + missing angle =180
130 + missing angle = 180
missing angle = 180 - 130
missing angle = 50 degree
c = missing angle (being vertically opposite angles )
c = 50 degree
x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)
70 + 50 = a
120 degree = a
a = b (being vertically opposite angle
120 =b
therefore b is 120 degree
Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree
