Respuesta :
The solution of two equations y=(2/3)x + 3 and x=-2 is [tex](-2,5/3)[/tex]
Define an equation .
A mathematical statement that shows that two mathematical expressions are equal.
What is a Subsitution method ?
The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given two equations are y=[tex]\frac{2}{3}[/tex]x + 3 and x=-2
So on subsituting x=-2 in another given equation ,we get
y=[tex]\frac{2}{3}[/tex] (-2) +3
=[tex]\frac{-4}{3}[/tex] + 3
On taking LCM both sides ,we get
y=[tex]\frac{(-4+9)}{3}[/tex]
= [tex]\frac{5}{3}[/tex]
Hence ,the solution of the system of equations is (x,y) is ([tex]-2,\frac{5}{3}[/tex])
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Correct question:
What is the solution of two equations y=(2/3)x + 3 and x=-2 ?
The solution of two equations y=(2/3)x + 3 and x=-2 is [tex](-2, \frac{5}{3})[/tex]
Define an equation .
A mathematical statement that shows that two mathematical expressions are equal.
What is a Subsitution method ?
The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given two equations are y = [tex]\frac{2}{3}[/tex]x + 3 and x=-2
So on substituting x=-2 in another given equation ,we get
y = [tex]\frac{2}{3} \times (-2) + 3[/tex]
= [tex]\frac{-4}{3} + 3[/tex]
On taking LCM both sides ,we get
y = [tex]\frac{(-4 + 9)}{3}[/tex]
= 5/3
Hence ,the solution of the system of equations is (x, y) is [tex](-2, \frac{5}{3})[/tex]
Learn more about the solution of two equations by : brainly.com/question/2214460
#SPJ4
Correct question: What is the solution of two equations y=(2/3)x + 3 and x=-2 ?
