Answer:
x = -1
y = -2
Step-by-step explanation:
To get y by itself:
3x - y = -1
-y = -1 - 3x
y = 1 + 3x
Solve for x with substitution:
2x = 4(1 + 3x) + 6
2x = 4 + 12x + 6
2x = 10 + 12x
-10x = 10
x = -1
Plug the x value into 3x - y = -1
3(-1) - y = -1
-3 - y = -1
-y = 2
y = -2
Answer:
x = -1 and y = -2
Step-by-step explanation:
2x = 4y +6
x = 2y + 3
3(2y+3) - y = -1
6y+9 - y = -1
6y - y = -10
5y = -10
y = -2
2x = 4(-2) + 6
2x = -8 + 6
x = -4 + 3
x = -1
I hope this helps!
Answer:
Let the original deposit be
x
Add $26 to original deposit
→
x
+
26
And doubled the sum
→
2
(
x
+
26
)
You get the new amount
→
2
(
x
+
26
)
=
264
Multiplying out the bracket
2
x
+
52
=
264
Subtract 52 from both sides
2
x
=
264
−
52
2
x
=
212
Divide throughout by 2
x
=
106
So the original amount was $106.00
2/3, 9/16, 0.52
Answer:
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Step-by-step explanation:
Which of the following statements are true? Select all that apply.
A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Answer:
Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:
Total charge for Rock the House Digital Designs = 500 + 50h
Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:
Total charge for Elegance Home Architects = 75h
A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h
B) Option B is correct because the total charge for Elegance Home Architects = 75h
C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500
D) For a period of 15 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250
Total charge for Elegance Home Architects = 75h = 75(15) = $1125
Option D is correct because Elegance home architect would be cheaper
E) For a period of 40 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500
Total charge for Elegance Home Architects = 75h = 75(40) = $3000
Option D is correct because Rock the House Digital Designs would be cheaper
Answer:
x = 13
Step-by-step explanation: 2 2.5
Write and solve an equation of ratios: ------- = ---------
8 x - 3
Cross-multiplying, we get 2x - 6 = 20. Adding 6 to both sides: 2x = 26.
Then x = 13 units.x
true or false?