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3 years ago

Solving systems of equations by subsitution

1 answer:

4 0

<h2>Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ...</h2><h2>Step 2: Substitute that equation into the other equation, and solve for x. ...</h2><h2>Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.</h2>

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Why does PEMDAS mean?

GrogVix [38]

Answer:

Parenthesis, Exponent (& roots), Multiplication, Division, Addition, Subtraction

Step-by-step explanation:

This is the order that you should solve your expressions that are given to you (of course, you still have to follow the left -> right rule afterwards).

8 0

4 years ago

Read 2 more answers

Fwd:The hardware store is having a 15% off sale on lawn mowers this weekend. If x is the original price of a lawn mower, what wi

Sveta_85 [38]

Answer:

Step-by-step explanation:

Let x be the original price of a lawn mower,

If the hardware store is having a 15% off sale on lawn mowers this weekend, the amount discounted is expressed as;

= 15 % of x

= 0.15 of x

= 0.15x

Final sales price = Original price - discounted price;

Final sales price = x - 0.15x

Factor out x;

x - 0.15x = x(1 - 0.15)

Hence the correct equations are (x - 0.15x) and x(1.00 - 0.15)

3 0

3 years ago

What is the distributive property?

AleksAgata [21]

Answer:

Below

Step-by-step explanation:

Here an example to illustrate the distributive property wich is used in multiplication

● a ( b + c) = ab + ac

It is applied while the transition from the multiplication to tge addition

4 0

4 years ago

Find the volume. Confusing

andrezito [222]

Multiply all the numbers

7 0

4 years ago

Read 2 more answers

How can you find the equation of a line that is parallel/perpendicular to a given line

alexdok [17]

In the Slope-Intercept Form, m is the slope and b is the y-intercept.

<u>Finding The Equation of a Line Parallel to the Given Line:</u> Let the given line be line a and the parallel line be line b.

1) Find the slope of line a.

Example: Line a --> $y = 5x + 2$ . The slope is 5.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of a point located on line b.

Example: The slope is 5 and the point is (2, 3), use the Slope-Intercept Formula, $y=mx+b$ ---> $3 = 5(2) + b$ . Then you solve for b.

$3 = 5(2) + b$

$3 = 10 + b$

$3 - 10 = 10 - 10 + b$

$-7 = b$ $b=-7$

The y-intercept of line b is -7

3) Finally, plugin the slope and the y-intercept into the Slope-Intercept Form.

Example: The slope of line b is 5 and the y-intercept is -7. The equation of line b is $y = 5x - 7$ .

<u>Finding The Equation of a Line Perpendicular to The Given Line:</u> Let the given line be line a and the perpendicular line be line b.

1) Find the opposite reciprocal of the slope of line a.

Example: Line a --> $y=5x+2$ . The slope is 5, to find the opposite reciprocal of the slope you use n --> $-\frac{1}{n}$ . In this case, it would be $-\frac{1}{5}$ . The opposite reciprocal of the slope of line a is $-\frac{1}{5}$ , which would be the slope of line b.

2) Find the y-intercept of line b.

To do this, you need to be given the coordinates of the point where line a and line b both intersect.

Example: The slope of line b is $-\frac{1}{5}$ and the point is (1, 7), use the Slope-Intercept Formula, $y=mx+b$ ---> $7=-\frac{1}{5}(1) + b$ . Then you solve for b.