1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elan Coil [88]
3 years ago
9

If 7x - 4y = 23 and x + y = 8, what is the value of x?

Mathematics
2 answers:
Margaret [11]3 years ago
8 0

Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

------------------------

11x    = 55

Divide each side by 11

11x/11 = 55/11

x = 5

QveST [7]3 years ago
5 0

Answer:

\huge\boxed{x=5}

Step-by-step explanation:

\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5

You might be interested in
Write the equation of the line given the slope = 9 and b = 5 with y = mx + b
Delvig [45]

Answer:

y=9x+5

Step-by-step explanation:

3 0
2 years ago
PLEASE IM SO LOST RN<br> Can someone please answer the first 3 questions
kondor19780726 [428]

Answer:

1. Yes it does. It's a function because it pass in the vertical line test, which tell us that if you can draw an vertical line through the graph and this line touches the graph in only one point, it is a function.

2. B. I and II only

3. A. y = 8/7 x +5

7 0
2 years ago
Alison's solar panels have a 10-year<br> guarantee. For how many months is the<br> guarantee good?
ladessa [460]

Answer:

120

Step-by-step explanation:

12 months in a yr, 10 times 12 is 120.

8 0
3 years ago
Read 2 more answers
The graph below shows the number of new clients brought into Sunnydays Insurance Company. Why is the graph misleading?
Lera25 [3.4K]

The graph is misleading because the year’s interval is not constant. The first year to the second year, the gap is 1 year; in the second to the third year, the gap is 2; in the third to the fourth year is 4; and the fourth to the fifth year is 6.

8 0
3 years ago
Hey i need help! ty!​
allsm [11]

Answer:

-3 1/5 < - 3 7/10

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • What is 2 1/3 multiplied by 5?
    8·1 answer
  • Convert 45 minutes to seconds. There are seconds in 45 minutes (Simplify your answer.) how many seconds are in 45 minutes
    11·1 answer
  • 85% of a number is added to 24, the result is the same number find the number. ​
    6·1 answer
  • !!!!!! hElP mE PleAsE !!!!!!
    13·2 answers
  • If anyone could help
    6·2 answers
  • This is hard please
    10·2 answers
  • Which line segment is a diameter of circle F?<br> FE¯¯¯¯¯<br> AC¯¯¯¯¯<br> EC¯¯¯¯¯<br> BA¯¯¯¯¯
    14·1 answer
  • Simplify the expression 21b4 − 3b by combining like terms.
    6·1 answer
  • If&lt;Ibm=95, and I gave you the r&lt;Ibm, how many degrees of the pizza did you get​​
    7·1 answer
  • Simplify the fractions-a) 98/21b) 525/84
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!