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Q17.

Expert-verifiedFound in: Page 113

Book edition
Middle English Edition

Author(s)
Carter

Pages
804 pages

ISBN
9780079039903

**Solve each system of equations by graphing.**

** **

The solution of system of equations is .

Equation of line in slope intercept form is expressed below.

Where *m* is the slope and *c* is the intercept of *y*-axis.

Consider the first equation .

Rewrite the equation in form of slope-intercept form.

Subtract both sides by .

Next, divide both sides by and rearrange the terms.

Now, the equation is in the form . Here slope *m* of the line is and intercept of *y*-axis *c* is .

Now, consider the second equation .

Rewrite the equation in form of slope-intercept form.

Subtract both sides by x.

Next, divide both sides by and rearrange the terms.

Now, the equation is in the form . Here slope *m* of the line is and intercept of *y*-axis *c* is .

Plot the equations on the same plane and the point where both the equations intersect is the solution of the system of the equations.

The red line denotes the equation and blue line denotes the equation .

Therefore, the point of intersection is .

The point of intersection is solution of system of equations if the point satisfies both the equation.

Substitute the point in the equation .

Substitute *x* as 5 and *y* as and check whether right hand side is equal to left hand side of the equation.

Since, this is true so the point satisfy the equation .

Substitute the point in the equation .

Substitute *x* as 5 and *y* as 3 and check whether right hand side is equal to left hand side of the equation.

Since, this is true so the point satisfy the equation .

Hence, the solution of the system of equations is .

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