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quester [9]
3 years ago
13

Solve, using the substitution method.

Mathematics
2 answers:
Phoenix [80]3 years ago
5 0
14-4x=2y
divide both sides by 2
7-2x=y
subsitute 7-2x for y
7-2x+2x=7
add like terms
7=7
true
therefor these 2 equations are the same and there are an infinite number of equations


answer is C
ANEK [815]3 years ago
5 0

y+2x=7

14-4x=2y

Solve 2x+y=7 for y

Add -2x to both sides

2x+y+-2x=7+-2x

y=-2x+7

Substitute -2x+7 for in -4x+14=2y

-4x=14=2y

-4x+14=2(-2x+7)

Simplify both sides of the equation

-4x+14=-4x+14

Add 4x to both sides

-4x+14+4x=-4x+14+4x

14=14

Add -14 to both sides

14+-14=14+-14

0=0

Infinitely many solutions

Answer : C

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Step-by-step explanation:

12 ÷ 4 = 3

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The driver of the bus filled the gas tank with gas by putting in 21 gallon. If the gas gauge was at five-eighths before she fill
vazorg [7]

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56 gallons

Step-by-step explanation:

When her gas tank is full, she has x gallons in the tank.

when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.

(5/8)x + 21 = x

subtract x and 21 from both sides

(5/8)x - x = -21

factor out an x from the left side

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8 0
3 years ago
A six-sided die is rolled. What is the probability that the number rolled will be an even number or a 6?
asambeis [7]

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1/2

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8 0
3 years ago
Which is an equivalent expression
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3 years ago
Given f(x)= 3x+21. A. F(4)=B. F(X)= 50, X=2. C. F(-5)=D. F(X)= -34, X=
nignag [31]

The given function is

f(x)=3x+2

A . f(4) means we have to evaluate the function when x = 4.

f(4)=3(4)+2=12+2=14<h2>Therefore, f(4) = 14.</h2>

B. f(x) = 50 means we have to evaluate the function when y = 50.-

\begin{gathered} 50=3x+2 \\ 50-2=3x \\ x=\frac{48}{3} \\ x=16 \end{gathered}<h2>Therefore, f(16) = 50.</h2>

C. f(-5) means we have to evaluate the function when x = -5.

f(-5)=3(-5)+2=-15+2=-13<h2>Therefore, f(-5) = -13.</h2>

D. f(x) = -34.

\begin{gathered} -34=3x+2 \\ -34-2=3x \\ x=\frac{-36}{3} \\ x=-12 \end{gathered}<h2>Therefore f(-12) = -34.</h2>
4 0
1 year ago
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