Please help me solve this. Show work please

Section: 4.1

Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetical order of variables.

(4,1);

4x+ y=17

8x+2y=34

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.

2x y =6

x+2y = 2

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.

3xy=6

9x3y=6

In order to print flyers for his new business, Henri plans to purchase printer A for $50 or printer B for $230. A printer A cartridge costs $120 and will print 600 flyers, and a printer B cartridge costs $240 and will print 12,000 flyers. Use the given information to answer parts (a) through (c).

Find two numbers whose sum is 36 and whose difference is 22.

The difference between two numbers is 6. Five times the larger number is seven times the smaller. Find the two numbers.

Two angles are supplementary. One angle is 3 less than twice the other. Find the measures of the angles.

The perimeter of a basketball court is 282 ft. The length is 43 ft longer than the width. Find the dimensions of the court.

The perimeter of a soccer field is 340 yd. The width is 5 yd more than half the length. Find the length and the width.

Section 4.2:

Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetical order of variables.

(4,1);

4x+ y=17

8x+2y=34

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.

2x y=6

x+2y = 2

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this.

3xy=6

9x3y=6

In order to print flyers for his new business, Henri plans to purchase printer A for $50 or printer B for $230. A printer A cartridge costs $120 and will print 600 flyers, and a printer B cartridge costs $240 and will print 12,000 flyers. Use the given information to answer parts (a) through (c).

Find two numbers whose sum is 36 and whose difference is 22.

The difference between two numbers is 6. Five times the larger number is seven times the smaller. Find the two numbers.

Two angles are supplementary. One angle is 3 less than twice the other. Find the measures of the angles.

The perimeter of a basketball court is 282 ft. The length is 43 ft longer than the width. Find the dimensions of the court.

The perimeter of a soccer field is 340 yd. The width is 5 yd more than half the length. Find the length and the width.