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3 years ago

3x+1 = y 2x+3y = 14 please explain the steps if you can as well

1 answer:

8 0

3x + 1 = y
2x + 3y = 14

To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.

2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14

3 + 1 = y
2 + 3y = 14

4 = y
3y = 2

4 = y
4 = y

The solution to this system of equations is (1, 4).

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2 years ago

A number plus itself, plus twice itself, plus 4 times itself is equal to -104

NARA [144]

The scenario will will be represented by: $x+x+2x+4x=-104$

The number will be -13

Step-by-step explanation:

We have to convert the given situation into the mathematical form

Let x be the number

Then

"a number plus itself"

x+x

"plus twice itself"

x+x+2x

"plus 4 times itself"

x+x+2x+4x

"is equal to -104"

$x+x+2x+4x=-104$

This can also be written as:

$x+x+2x+4x=-104\\8x=-104\\Dividing\ both\ sides\ by\ 8\\\frac{8x}{8}=\frac{-104}{8}\\x=-13$

Keywords: Linear Equation

Learn more about linear equation at:

#LearnwithBrainly

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3 years ago

Which expression matches the following: Jill scored 3 points for each of the 18 multiple

podryga [215]

Answer:18(3)

Step-by-step explanation:

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3 years ago

What is the solution for log z + 12 = 9?<br><br>A: 000.1 B: -1,000 C: -0.001 D: 1,000

Ivahew [28]

Answer:

z + 12 = 9

Reorder the terms:

12 + z = 9

Solving

12 + z = 9

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + z = 9 + -12

Combine like terms: 12 + -12 = 0

0 + z = 9 + -12

z = 9 + -12

Combine like terms: 9 + -12 = -3

z = -3

Simplifying

z = -3

Step-by-step explanation:

8 0

3 years ago

This is a piecewise function |x+3| ,x>2

marusya05 [52]

Answer:

Given: piece wise function-

f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0

First part of the function does not include x = 0.

In slope-intercept form,

slope(m) = 1

y-intercept = (0,3).

So, the conditions are shown in graphs 1 and 3.

Now, the second part of the function equation passes through origin as the equation is f(x) = 2x.

Correct choice - [B]

Note: See picture of graph attached.

Step-by-step explanation:

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3 years ago