1562730

2022-02-27

tell whether the ordered pair is a solution of the linear system (5,2)2x-3y=42x+8y=11

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Subtract the two equations: $2x-$$3y-$$\left(2x+$$8y\right)=$$4-$$11$

Remove parentheses: $2x-$$3y-$$2x-$$8y=$$4-$$11$

Cancel one variable: $-$$3y-$$8y=$$4-$$11$

Combine like terms: $-$$11y=$$4-$$11$

Calculate the sum or difference: $-$$11y=$$-$$7$

Divide both sides of the equation by the coefficient of variable: $y=$$\frac{-7}{-11}$

Rewrite the fraction: $y=$$\frac{7}{11}$

Substitute into one of the equations: $2x-$$3×$$\frac{7}{11}=$$4$

Multiply both sides of the equation by the common denominator: $2x×$$11-$$3×$$\frac{7×11}{11}=$$4×$$11$

Reduce the fractions: $2x×$$11-$$3×$$7=$$4×$$11$
Multiply the monomials: $22x-$$3×$$7=$$4×$$11$
Calculate the product or quotient: $22x-$$21=$$44$
Rearrange unknown terms to the left side of the equation: $22x=$$44+$$21$
Calculate the sum or difference: $22x=$$65$
Divide both sides of the equation by the coefficient of variable: $x=$$\frac{65}{22}$
The solution of the system is:$\left\{\begin{array}{l}x=\frac{65}{22}\\ y=\frac{7}{11}\end{array}\right\$
Answer: $\left\{\begin{array}{l}x=\frac{65}{22}\\ y=\frac{7}{11}\end{array}\right\$

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