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lana [24]
3 years ago
6

Solve the system of equations by substitution. 2x + y = 3z x + y = 6z What is the value for y from the first equation, that coul

d be substituted into the second equation?
Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

y = 3z - 2x

Step-by-step explanation:

Systems of equations can be solved by a number of know techniques, such as substitution, elimination or graphical approach.

We are required to solve the system of equations given via substitution;

2x + y = 3z

x + y = 6z

The question requires us to determine the value for y from the first equation, that could be substituted into the second equation.

We simply need to make y the subject of the formula from the first equation;

2x + y = 3z

To do this we subtract 2x on both sides of the equation;

2x + y -2x = 3z - 2x

y = 3z - 2x

This is the value of y from the first equation, that can be substituted into the second equation.

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1. 15 dollars
2. Deposit=15*month+105
3. Deposit=15*12+105=$285
4.
500=15*month+105
395=15*month
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Hope this helps!
5 0
2 years ago
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Sam plans to walk his dog a distance of a mileHe walks 3/8 of a mile and stop and get a bottle of waterThen he walks 1/8 of a mi
DedPeter [7]

Answer:

1/2 mile

Step-by-step explanation:

3/8+1/8=4/8 or 1/2 simplified

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3 0
3 years ago
If (2i/2+i)-(3i/3+i)=a+bi, then b=
max2010maxim [7]

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

=  (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

=  5 - 5i / 25 -25i^2

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6 0
2 years ago
What is the following sum in simplest form sqrt8+3sqrt2+sqrt32 please HURRY
iragen [17]

Answer:

9sqrt2.

Step-by-step explanation:

sqrt8 + 3sqrt2 + sqrt32

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3 0
3 years ago
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a line has the equation 8x-2y=24 in standard form.Rewrite the equation of the line in slope intercept form.Then report the slope
inna [77]
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-8x     -8x
-2y=-8x+24
----- ---- ----
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y=4x-12

slope: 4
y-intercept: -12

6 0
2 years ago
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