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Aleonysh [2.5K]
3 years ago
9

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.

Mathematics
2 answers:
lakkis [162]3 years ago
5 0
\sf 5x+2y=21
\sf -2x+6y=-34

We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':

\sf -2x+6y=-34

Subtract 6y to both sides:

\sf -2x=-6y-34

Divide -2 to both sides:

\sf x=3y+17

Plug in 3y + 17 for 'x' in the first equation:

\sf 5x+2y=21

\sf 5(3y+17)+2y=21

Distribute 5:

\sf 15y+85+2y=21

Combine like terms:

\sf 17y+85=21

Subtract 85 to both sides:

\sf 17y=-64

Divide 17 to both sides:

\boxed{\sf y\approx -3.8}

This is the y-coordinate of the solution.
ss7ja [257]3 years ago
5 0

Answer:

-3.8

Step-by-step explanation:

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Answer:

b is the answer

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. Graph the linear function f(x) = -2x + 1
anyanavicka [17]

Answer: The slope is -2 and the y-intercept is (0,1)

Step-by-step explanation:

3 0
1 year ago
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Answer:

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4 0
2 years ago
Which addition does this model represent.​
Elina [12.6K]
It represents the first one 3+(-1)
5 0
2 years ago
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
2 years ago
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