Solve ((B)/(E)+A)-R=((103+107+109)/(sqrt(37+41+43))+(25+(18+11))-(2\times30) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$( \frac{ B }{ E } +A)-R=( \frac{ 103+107+109 }{ \sqrt{ 37+41+43 } } +(25+(18+11))-(2 \times 30)$$

Solve for A

$A=R-\frac{B}{E}+23$
$E\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $E$.

$$B+EA-RE=E\left(\frac{103+107+109}{\sqrt{37+41+43}}+25+18+11\right)-E\left(2\times 30\right)$$

Add $103$ and $107$ to get $210$.

$$B+EA-RE=E\left(\frac{210+109}{\sqrt{37+41+43}}+25+18+11\right)-E\left(2\times 30\right)$$

Add $210$ and $109$ to get $319$.

$$B+EA-RE=E\left(\frac{319}{\sqrt{37+41+43}}+25+18+11\right)-E\left(2\times 30\right)$$

Add $37$ and $41$ to get $78$.

$$B+EA-RE=E\left(\frac{319}{\sqrt{78+43}}+25+18+11\right)-E\left(2\times 30\right)$$

Add $78$ and $43$ to get $121$.

$$B+EA-RE=E\left(\frac{319}{\sqrt{121}}+25+18+11\right)-E\left(2\times 30\right)$$

Calculate the square root of $121$ and get $11$.

$$B+EA-RE=E\left(\frac{319}{11}+25+18+11\right)-E\left(2\times 30\right)$$

Divide $319$ by $11$ to get $29$.

$$B+EA-RE=E\left(29+25+18+11\right)-E\left(2\times 30\right)$$

Add $29$ and $25$ to get $54$.

$$B+EA-RE=E\left(54+18+11\right)-E\left(2\times 30\right)$$

Add $54$ and $18$ to get $72$.

$$B+EA-RE=E\left(72+11\right)-E\left(2\times 30\right)$$

Add $72$ and $11$ to get $83$.

$$B+EA-RE=E\times 83-E\left(2\times 30\right)$$

Subtract $B$ from both sides.

$$EA-RE=E\times 83-E\left(2\times 30\right)-B$$

Add $RE$ to both sides.

$$EA=E\times 83-E\left(2\times 30\right)-B+RE$$

Reorder the terms.

$$AE=-E\left(2\times 30\right)+ER-B+83E$$

The equation is in standard form.

$$EA=23E+ER-B$$

Divide both sides by $E$.

$$\frac{EA}{E}=\frac{23E+ER-B}{E}$$

Dividing by $E$ undoes the multiplication by $E$.

$$A=\frac{23E+ER-B}{E}$$

Divide $23E-B+ER$ by $E$.

$$A=R-\frac{B}{E}+23$$

Solve for B

$B=-E\left(A-R-23\right)$
$E\neq 0$