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3 years ago

14

How do I turn this equation into standard form? 8x=-5y+3

1 answer:

NARA [144]3 years ago

8 0

Answer:

Step-by-step explanation:

To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.

Ax+By=C

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

8x−3=y

Move y to the left side of the equation because it contains a variable.

8x−3−y=0

Move 3 to the right side of the equation because it does not contain a variable.

8x−y=3

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3 years ago

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3 years ago

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Please help with geometry test

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3 years ago

Matt and Trey are remodeling their gardens. Matt purchased 8 ferns and 1 rosebush for $35. Trey purchased 4 ferns and 3 rosebush

AlladinOne [14]

Answer:

Cost of a fern = $4

cost of a rose bush = $3

Step-by-step explanation:

Let cost of a fern in dollars be = $x$

Let cost of a rosebush in dollars be = $y$

Matt purchased 8 ferns and 1 rosebush for $35

Cost of 8 ferns in dollars will be = $8x$

cost of a rosebush in dollars is = $y$

Total cost of 8 ferns and 1 rosebush in dollars = $8x+y$

So, we have a Matt's equation as:

$8x+y=35$

Trey purchased 4 ferns and 3 rosebushes for $25.

Cost of 4 ferns in dollars = $4x$

Cost of 3 rosebushes in dollars = $3y$

Total cost of 4 ferns and 3 rosebush in dollars = $4x+3y$

So, we have a Trey's equation as:

$4x+3y=25$

The system of equations is :

A) $8x+y=35$

B) $4x+3y=25$

Solving the system by substitution method.

Rearranging equation A, to solve for $y$ in terms of $x$

Subtracting both sides by $8x$

$8x+y-8x=35-8x$

$y=35-8x$

Substituting value of $y$ we got from A into equation B.

$4x+3(35-8x)=25$

Using distribution.

$4x+105-24x=25$

Simplifying.

$-20x+105=25$

Subtracting both sides by 105.

$-20x+105-105=25-105$

$-20x=-80$

Dividing both sides by -20.

$\frac{-20x}{-20}=\frac{-80}{-20}$

∴ $x=4$

We can plugin $x=4$ in the rearranged equation A to get value of $y$

$y=35-8(4)$

$y=35-32$

∴ $y=3$

Cost of a fern = $4

Cost of a rosebush = $3

7 0

4 years ago