Solve by the substitution method.
6x + 8y = 0
-7x + y = 31
1 answer:
Answer:
(-4, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Equality Properties
<u>Algebra I</u>
Solving systems of equations using substitution/elimination Step-by-step explanation:
<u>Step 1: Define Systems</u>
6x + 8y = 0
-7x + y = 31
<u>Step 2: Rewrite Systems</u>
-7x + y = 31
Add 7x to both sides: y = 7x + 31
<u>Step 3: Redefine Systems</u>
6x + 8y = 0
y = 7x + 31
<em />
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
Substitute in <em>y</em>: 6x + 8(7x + 31) = 0 Distribute 8: 6x + 56x + 248 = 0 Combine like terms: 62x + 248 = 0 Isolate <em>x </em>term: 62x = -248 Isolate <em>x</em>: x = -4
<u>Step 4: Solve for </u><em><u>y</u></em>
Define equation: -7x + y = 31 Substitute in <em>x</em>: -7(-4) + y = 31 Multiply: 28 + y = 31 Isolate <em>y</em>: y = 3
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Answer:
Step-by-step explanation:
(0, 1) (4, -2)
(-2 - 1)/(4 -0) = -3/4
The slant height, x, is 7.5 mm because you use the pythagorean formula and solve for c, since the you're solving for the hypotenuse which is the longest side.
I think it’s A sorry if I’m wrong
11/25
Step 1. Simplify
to
Step 2. Simplify
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Step 3 . Simplify
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Step 4. Cancel
on both sides
Step 5. Multiply both sides by
(the LCM of
)
Step 6 . Expand
Step 7. Subtract
from both sides
Step 8 . Simplify
to
Step 9. Multiply both sides by
Done! :) Hope this helps! :)
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