Answer:
the points are (35,30) you may need to search a graph online i used desmos
Step-by-step explanation:
1. x= Jacksons Cups y= Lucius Cups2. x - y= 5 6x + 3y = 300Substitution: 6 (y+5) + 3y = 300 6y + 30 + 3y = 300 9y = 270 dived both by 9 y=30 Sub y for other equation x - 30 = 5 add 30 to both sides x = 35 Answer: (35, 30) Graphing: x- y = 56x+ 3y = 300solve both for y y = x-5 6x + 3y = 300minus 6x from both sides the points are in y = mx + b y= 1x -5 y= -2x + 100 I will also leave the ss of the graph in the comments if you cannot see it My labels for the x-axis is Jacksons cups and y Is luscious cups. Elimination:x - y = 5 6x + 3y = 300 First I manipulated the equations by the following - 6 (x - y = 5 ) 1(6x + 3y = 300 ) -6x + 6y = -30 6x + 3y = 300 The 6 x's cancel and add the y's and real numbers together 9y = 270 dived both by 9 y= 30 Sub y for other equation x - 30 = 6 add 30 to both sides x= 30 The points are (35, 30) The solution is (35,30)They represent how many cups they sold. 35 is Jackson cups and 30 is Lucious's cups
3,50 degrees hope This heal
Answer:
The numerical length of RS is 22 units
Step-by-step explanation:
∵ Point S is on the line segment RT
→ <em>That means S divide RT into two parts RS and ST</em>
∴ RS + ST = RT
∵ RS = 4x - 10
∵ ST = 2x - 10
∵ RT = 4x - 4
→ <em>Substitute them in the statement above</em>
∴ 4x - 10 + 2x - 10 = 4x - 4
→ <em>Add the like terms in the left side</em>
∴ (4x + 2x) + (-10 + -10) = 4x - 4
∴ 6x + (-20) = 4x - 4
∴ 6x - 20 = 4x - 4
→ <em>Add 20 to both sides</em>
∴ 6x -20 + 20 = 4x - 4 + 20
∴ 6x = 4x + 16
→ <em>Subtract 4x from both sides</em>
∴ 6x - 4x = 4x - 4x + 16
∴ 2x = 16
→ <em>Divide both sides by 2 to find x</em>
∴ 
∴ x = 8
→ <em>Substitute the value of x in Rs to find its length</em>
∵ RS = 4(8) - 10
∴ RS = 32 - 10
∴ RS = 22 units
The numerical length of RS is 22 units