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3 years ago

Maths question PLEASE ASAP HELP PLEASE

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

The correct answers are:

#1) no solution; #2) (3, 11), because both lines pass through this point ; #3) There is no graph to use to answer the question; #4) There is no graph to use to answer the question; #5) Line y = -2x + 3 intersects the line y = -x + 1; #6) There is no graph to use to answer the question; #7) There is no graph to use to answer the question; #8) 4h + 1 = 3h + 5 ; #9) No solution; #10) (-6, -4)

Explanation:

#1) For the equations x+y=5 and x+y=4, if we were to eliminate a variable, we would wind up eliminating both variables and have unequal constants. Thus there is no solution.

#2) To solve the system y=x+8 and y=3x+2, we can substitute for y in the first equation:

3x+2 = x+8

Subtract x from each side:

3x+2-x = x+8-x

2x+2 = 8

Subtract 2 from each side:

2x+2-2 = 8-2

2x = 6

Divide both sides by 2:

2x/2 = 6/2

x = 3

Substitute this into the first equation:

y=x+8

y=3+8

y=11

This means that both lines pass through (3, 11) and this is the solution to the system.

#3) No graph to use to answer the question.

#4) No graph to use to answer the question.

#5) The slopes of the lines y = -2x+3 and y = -x+1 are different (-2 and -1). This means that the lines will intersect.

#6) No graph to use to answer the question.

#7) No graph to use to answer the question.

#8) To solve this, substitute the value of g in the first equation into g in the second equation:

4h+1 = 3h+5

#9) The slopes of these equations are the same, and the y-intercepts are different; this means that the lines are parallel and never intersect, so there is no solution.

#10) To solve this system, substitute the value of a from the second equation into the first equation:

a - 4b = 10

a = b-2

b - 2 - 4b = 10

Combine like terms:

-3b - 2 = 10

Add 2 to each side:

-3b - 2 + 2 = 10 + 2

-3b = 12

Divide both sides by -3:

-3b/-3 = 12/-3

b = -4

Substitute this value into the second equation:

a = b - 2

a = -4 - 2

a = -6

This gives us the solution (-6, -4)

Sphinxa [80]3 years ago

8 0

1.) No solution.

x + y = 5

x + y = 4

Solve by elimination. Make one equation negative to solve for x.

-x - y = 5

x + y = 4

*Can't have both x's and y's cancel at the same time*

2.) (3,11) - both pass through point.

y = x + 8

y = 3x + 2

Solve by elimination. Solve for y.

-3y = -3x - 24

y = 3x + 2

-2y = -22

-y = -11

y = 11

Plug in y to one of the original equations.

11 = x + 8

3 = x

Solution: (3,11)

4.) Not enough information provided for me to solve problem 4. Feel free to send it to me!

5.) Line y = -2x + 3 intersects line y = -x + 1

6.) Not enough information provided for me to solve.

7.) Not enough information provided for me to solve.

8.) 4h+1 = 3h+5

9.) No solution. Same setup as #1

10.) (-6,-4)

a - 4b = 10

a = b - 2

Solve by substituting.

b - 2 - 4b = 10

-3b - 2 = 10

-3b = 12

b = -4

Plug in b to solve for a.

a = -4 - 2

a = -6

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