All categories

2 years ago

Solve the following system of equations. x - 2y = -2 7x - 3y = 19

Mathematics

1 answer:

dolphi86 [110]2 years ago

8 0

Answer:

Step-by-step explanation:

x-2y=-2 x=2y-2

7x-3y=19

substitute x with 2y-2

7(2y-2)-3y=19 14y-14-3y=19 11y=33 y=3

substitue 3 for y

x-2(3)=-2 x-6=-2 x=4

x=4, y=3

btw if theres more similar questions like this use symbolab a website that solves and show you step by step in solving equations

really useful

You might be interested in

The equation below describes a parabola. If a is positive, which way does the

Rzqust [24]

B. Up

Because a positive ‘a’ value will make the parabola open upwards, and because the power is 2 (even) both sides will open up in a ‘U’ shape

8 0

1 year ago

Read 2 more answers

Find the percent change from the first value to the second 50;30

Alex787 [66]

Answer:

-40%

Step-by-step explanation:

NV = new value

OV = old value

percent change = (NV - OV)/(OV) × 100%

percent change = (30 - 50)/(50) × 100%

percent change = -20/50 × 100%

percent change = -40%

5 0

1 year ago

What are the potential solutions of log4x+log4(x+6)=2?

lions [1.4K]

The potential solutions of $log_4x+log_4(x+6)=2$ are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

Product Rule for Logarithms - $log_{b}(a*c)=log_{b}a+log_{b}c$
Quotient Rule for Logarithms - $log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c$
Power Rule for Logarithms - $log_{b}(a^c)=c*log_{b}a$

The exercise asks the potential solutions for $log_4x+log_4(x+6)=2$ . In this expression you can apply the Product Rule for Logarithms.

$log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0$

Now you should solve the quadratic equation.

Δ= $b^2-4ac=36-4*1*(-16)=36+64=100$ . Thus, x will be $x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}$ . Then:

$x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8$

The potential solutions are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0

2 years ago

Does the point (4, 8) satisfy the equation y = x + 6

Oksanka [162]

It can, it just depends upon the slope

Do you know what the slope is?

7 0

2 years ago

Read 2 more answers

The sum of a number (n) and 14 is 72. Which equation shows this relationship

Luden [163]

The sum is of n and 14 can be written as:

n+14=72

4 0

3 years ago