Question

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y=3x-4 y=-2x+1

Answer 1

$\left\{\begin{array}{ccc}y=3x-4\\y=-2x+1\end{array}\right\\\\y=3x-4\\for\ x=0\to y=3(0)-4=-4\to(0;-4)\\for\ x=2\to y=3(2)-4=2\to(2;\ 2)\\\\y=-2x+1\\for\ x=0\to y=-2(0)+1=1\to(0;\ 1)\\for\ x=2\to y=-2(2)+1=-3\to(2;\ -3)$

Look at the picture.

Answer: x = 1; y = -1 → (1; -1)

Answer 2

The solution of the system of equation is (1, -1).

Given that

The system of the equation;

$\rm y=3x-4\\\\ y=-2x+1$

We have to determine

The solution of the system of equation.

According to the question

The system of the equation;

$\rm y=3x-4\\\\ y=-2x+1$

Subtract equation 1 from equation 2

$\rm y - y = 3x-4 - (-2x+1)\\\\0 = 3x-4+2x-1\\\\5x-5=0\\\\5x = 5\\\\x = \dfrac{5}{5}\\\\x = 1$

Substitute the value of the x in equation 1

$\rm y = 3x-4\\\\y = 3(1) -4\\\\y = 3-4\\\\y = -1$

Hence, the solution of the system of equation is (1, -1).

To know more about System of Equation click the link given below.

https://brainly.com/question/11126648