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kirill115 [55]
3 years ago
10

Solve the Multi-Step Equations and check. Solve for x 15x - 24 - 4x = -79

Mathematics
2 answers:
Pani-rosa [81]3 years ago
4 0

Answer:

x = -5

Step-by-step explanation:

Step 1: Write out equation

15x - 24 - 4x = -79

Step 2: Combine like terms

11x - 24 = -79

Step 3: Add 24 to both sides

11x = -55

Step 4: Divide both sides by 11

x = -5

Step 5: Check step

Plug in -5 into the original equation

15(-5) - 24 - 4(-5) = -79

-75 - 24 + 20 = -79

-99 + 20 = -79

-79 = -79

Viktor [21]3 years ago
3 0

Answer:

x = -5

Step-by-step explanation:

15x - 24 - 4x = -79

11x - 24 = -79

11x = -55

x = -5

Check:

15 * -5 - 24 - 4 * -5

= -75 - 24 + 20

= -79

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2 years ago
Lindsey Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 814 p
baherus [9]

Answer:

The number of free throws, two-point throw, and three-point throw are 135, 173, and 111 respectively.

Step-by-step explanation:

Let x,y, and z are the numbers of two-point field goals, numbers of three-point field goals, and the number of free-throws (one-point goal) respectively.

The total points= 814

\Rightarrow 2x+3y+z=814\;\cdots(i)

As the number of two-point  goals was 49 less than double the number of three-point field goals she made.

\Rightarrow x=2y-49 \;\cdots(ii)

Again, the number of free goals was 38 less than the number of two-point field goals she made.

\Rightarrow z=x-38\;\cdots(iii)

From equations (i) and (iii)

2x+3y+x-38=814

\Rightarrow 3x+3y=852

\Rightarrow x+y=284

\Rightarrow 2y-49+y=284 [using equation (ii)]

\Rightarrow 3y=333

\Rightarrow y=111

From equation (ii),

x= 2\times111-38=173

From equation (iii),

z=173-38=135.

Hence,

The number of free throws, z= 135

The number of two-point throw, x=173

The number of three-point throw, y=111.

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