Answer:
x=−3 and y=4
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(2x+5y=14)
1(4x+2y=−4)
Becomes:
−4x−10y=−28
4x+2y=−4
Add these equations to eliminate x:
−8y=−32
Then solve−8y=−32for y:
−8y=−32
−8y
−8
=
−32
−8
(Divide both sides by -8)
y=4
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+5y=14
Substitute4foryin2x+5y=14:
2x+(5)(4)=14
2x+20=14(Simplify both sides of the equation)
2x+20+−20=14+−20(Add -20 to both sides)
2x=−6
2x
2
=
−6
2
(Divide both sides by 2)
x=−3
Answer:
Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
Step-by-step explanation:
Answer:
Tony make 4 half-court shots and misses 16 half-court shots.
Step-by-step explanation:
Given:
Points earned for every successful, half-court shots = 
Points deducted for missing the shots = 
or 
Total number of shots in the game =
Final points earned by Tony = 
According to the question:
Let the number of successful half-court shot be 
And the number of shots missed be 
So,
In terms of points we can re-write it as:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16
Answer:
Let the number to find be x
7 - 9x = 52
-9x = 52-7
- 9x = -45
Divide by - 9
x = 5
The number is 5
Hope this helps.
Answer:
Step-by-step explanation:
the standard equation of a line is in the form y=mx+b where m is the slope and b is the y intercept so if m = 1/4 and b = -3/4 you can just replace those spots giving you y=1/4x+-3/4
