Question

Estimate the solution to the system of equations.

Answer 1

Solving the system of equations we get $x=\frac{5}{3}$ and $y=\frac{14}{3}$

Step-by-step explanation:

We need to find the solution to the system of equations.

$y= 4x-2\\y = x+ 3$

Solving the given equations and finding the values of x and y

Let:

$y= 4x-2\,\,\,eq(1)\\y = x+ 3\,\,\,eq(2)$

Putting value of y from eq(2) into eq(1)

$4x-2=x+3\\4x-x=3+2\\3x=5\\x=\frac{5}{3}$

So, value of x is: $x=\frac{5}{3}$

Putting value of x in eq(2) to find value of y

$y=x+3\\y=\frac{5}{3}+3\\y=\frac{5+3*3}{3}\\y=\frac{5+9}{3}\\y=\frac{14}{3}$

So, value of y is: $y=\frac{14}{3}$

So, solving the system of equations we get $x=\frac{5}{3}$ and $y=\frac{14}{3}$

Keywords: System of equations

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