Solve following x-y=2 5x+3y=18

2 answers:

6 0

$x-y=2 \\ -x\ \ -x \\ -y=-x+2 \\ y=x-2 \\ \\ 5x+3(x-2)=18 \\ 5x+3x-6=18 \\ 8x-6=18 \\ +6\ \ \ \ +6 \\ 8x=24 \\ /8\ \ \ /8 \\ x=3$

kvasek [131]4 years ago

5 0

X-y = 2
5x+3y =18

let do some plug and play

x-y = 2
x = 2+y
now we got an answer for x lets plug that in the other equation

5(2+y) + 3y = 18
10+5y + 3y = 18
10 + 8y = 18
8y = 8
y = 1

now lets find x
x = 2 +y

x = 2+ 1
x = 3.

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The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars

vlabodo [156]

The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

$A=P(1+\frac{r}{100})^t$

to obtain

$6427.35=6000(1+\frac{r}{100})^2$

We divide through by 6000 to obtain,

$\frac{6427.35}{6000}=(1+\frac{r}{100})^2$

This implies that,

$1.071225=(1+\frac{r}{100})^2$

We take the square root of both sides,

$\sqrt{1.071225}=(1+\frac{r}{100})$

This gives us,

$1.035=(1+\frac{r}{100})$

Add -1 to both sides of the equation to obtain

$0.035=\frac{r}{100}$

Multiply through by 100 to obtain;

$r=3.5$ %

$Therefore the rate is 3.5%$