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Charra [1.4K]
3 years ago
10

2v+46=8(v-1) I got -54/10 which I know is wrong. Please help.

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0
First, we will get rid of the brackets
2v+46 = 8v-8
then, we will gather the terms with the variables on one side of the equation and the terms with no variables on the other side.
46+8 = 8v-2v
54 = 6v
to get the value of v, we will divide both sides of the equation by 6
v = 54/6 = 9
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Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8
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\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y  = \frac{17}{14} } \atop {x+7y=8}} \right.

To solve this system by substitution, first isolate x in the second equation.

x+7y=8
x+7y-7y=8-7y
x=8-7y

Now, plug this expression (8-7y) for x in the top equation to solve for y.

\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}
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Now that you have y, plug it into the second equation and solve for x.

x+7y=8
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Last step is to plug your x- and y-values in to both equations to check your work.

\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}

\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ;  \frac{1}{3} * \frac{8}{8} = \frac{8}{24}

\frac{9}{24} + \frac{8}{24} = \frac{17}{24}  <--True

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