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3 years ago

Find the solution to the system of equations.

Mathematics

2 answers:

Bad White [126]3 years ago

6 0

Answer:

3x - 2 = -5x + 6

8x = 8

x = 1

y = 3 (1) -2

y = 3 - 2

y = 1

Step-by-step explanation:

densk [106]3 years ago

3 0

Answer:

x = 1 and y = 1

Step-by-step explanation:

We want to find the solution. Our equations are:

y = -5x + 6

y = 3x - 2

Let's set these two equations equal to each other:

-5x + 6 = 3x - 2

8x = 8

x = 1

Substitute this back into any of the two equations to solve for y:

y = 3x - 2

y = 3 * 1 - 2 = 3 - 2 = 1

Thus, the answer is (1, 1), or x = 1 and y = 1.

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At a local print shop, 18 copies can be made for $6. At this rate, how much would it

Ber [7]

Answer: to make 78 copies it cost 26 dollars.

Step-by-step explanation:

18 copies - 6 dollars

78 copies - x dollars

Hence,

$\displaystyle\\x=\frac{78*6}{18} \\\\x=\frac{26*3*6}{3*6} \\\\x=26 \ dollars$

5 0

2 years ago

Determine if 2x = 14 + y and 4x + 2y = 10 are parallel, perpendicular, or neither.

kozerog [31]

Answer:

Neither

Step-by-step explanation:

To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form

(y = slope * x + y-intercept)

2x = 14 + y

-14 -14

2x - 14 = y OR y = 2x - 14

*So the slope of the first equation is 2*

4x + 2y = 10

-4x -4x

2y = -4x + 10

/2 /2

y = -4/2 + 10

*So the slope is -2*

For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)

6 0

3 years ago

Solve for x. Round to 3 decimal places

iVinArrow [24]

Answer:

Step-by-step explanation:

$\log_ab=c\iff a^c=b\\\\Domain:\ x+2>0\to x>-2\\\\\log_3(x+2)-8=-2\qquad\text{add 8 to both sides}\\\\\log_3(x+2)=6\iff x+2=3^6\\\\x+2=729\qquad\text{subtract 2 from both sides}\\\\x=727\in D$