Question

solve graphically 2x -y=2 and x +3y =15​

Answer 1

Answer:

=2×_y =2

=_y= 2÷2=

Step-by-step explanation:

=_y=-1

Answer 2

The solution of the system of equations is (3,4)

Explanation:

Given that the system of equations are $2 x-y=2$ and $x+3 y=15$

We need to determine the solution to the system of equations graphically.

To plot the equations in the graph, first we need to determine the x and y intercepts of the each equation.

Consider the equation $2 x-y=2$

When $x=0$ ⇒ $0-y=2\implies y=-2$

When $y=0$ ⇒ $2x-0=2 \implies x=1$

Thus, the we shall plot these coordinates $(0,-2)$ and $(1,0)$ and join the points.

Consider the equation $x+3 y=15$

When $x=0$ ⇒ $3y=15\implies y=5$

When $y=0$ ⇒ $x-0=15 \implies x=15$

Thus, the we shall plot these coordinates $(0,5)$ and $(15,0)$ and join the points.

Solution:

The solution to the system of equations is the point of intersection of the two lines.

Let us solve the equation.

Multiply equation (2) by -2, we get, $-2x-6y=-30$ -------(3)

Adding equation (1) and (3), we get,

$\ \ \ 2 x-y\ =2\\-2x-6y=-30\\--------\\\ \ -7y=-28$

    $y=4$

Thus, substituting the value $y=4$ in the equation $2 x-y=2$, we get,

$2 x-4=2$

     $2x=6$

      $x=3$

Thus, the solution to the system of equation is (3,4)

Learn more:

(1) Solve graphically the following system of linear equations (use graph sheet) :

x − 3y = 3

2x + 3y = 6

Also, find the area of the triangle formed by these two lines and the y-axis.

brainly.in/question/14698903

(2) Solve graphically: 2x +3y = 11; x + 2y = 7.

brainly.in/question/14297943