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stiv31 [10]
3 years ago
9

Solve each system by substitution y=-4x + 5 y= -2x + 1

Mathematics
2 answers:
VikaD [51]3 years ago
5 0
<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>;<span>y=<span><span>−<span>2x</span></span>+1</span></span></span>Step: Solve<span>y=<span><span>−<span>4x</span></span>+5</span></span>for y:Step: Substitute<span><span>−<span>4x</span></span>+5</span>foryin<span><span>y=<span><span>−<span>2x</span></span>+1</span></span>:</span><span>y=<span><span>−<span>2x</span></span>+1</span></span><span><span><span>−<span>4x</span></span>+5</span>=<span><span>−<span>2x</span></span>+1</span></span><span><span><span><span>−<span>4x</span></span>+5</span>+<span>2x</span></span>=<span><span><span>−<span>2x</span></span>+1</span>+<span>2x</span></span></span>(Add 2x to both sides)<span><span><span>−<span>2x</span></span>+5</span>=1</span><span><span><span><span>−<span>2x</span></span>+5</span>+<span>−5</span></span>=<span>1+<span>−5</span></span></span>(Add -5 to both sides)<span><span>−<span>2x</span></span>=<span>−4</span></span><span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−4</span><span>−2</span></span></span>(Divide both sides by -2)<span>x=2</span>Step: Substitute2forxin<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>:</span><span>y=<span><span>−<span>4x</span></span>+5</span></span><span>y=<span><span><span>(<span>−4</span>)</span><span>(2)</span></span>+5</span></span><span>y=<span>−3</span></span><span>(Simplify both sides of the equation)

</span><span><span>x=<span><span>2<span> and </span></span>y</span></span>=<span>−3</span></span>
MrRa [10]3 years ago
4 0
[-2x+1=-4x+5] is the first step and isolate for x -2x+1=-4x+5: x+2 then you got y=-3 the answer will be x=2, y=-3
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Find the 12th term of the sequence -15,-9,-3, 3
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First term (a) = -15
common difference(d)= -9-(-15)
= -9+15=6
So,
12th term(a12)= a +(n-1)d
= -15+(12-1)×6
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Which pair of fractions and mixed numbers have a common denominator of 20?
Tomtit [17]

Answer:

D 3 3/4 and 7/10

Step-by-step explanation:

A) 2 3/8 and 3/4  

4 goes into 20 evenly but 8 does not

NO

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NO  

C) 4 1/3 and 1/4

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D) 3 3/4 and 7/10

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3 years ago
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emmainna [20.7K]
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Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full cred
stira [4]

Answer: infinitely many solutions

Step-by-step explanation: 6y = -3x + 30 rewrites to 3x + 6y = 30

1. align equations x + 2y = 10

                           3x + 6y = 30

2. multiply first equation by -3 to get -3x - 6y = -30

3. align equations -3x - 6y = -30

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4. add the equations and you they cancel out, which means infinitely many solutions

3 0
3 years ago
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