Answer:
D
Step-by-step explanation:
out of the choices
A) 2x-y=-2
3x+2y=-10
B) x+4y=3
2x+5y=3
C) 2x+3y=5
x-4y=-14
D) 3x+4y=15
x+y=5
only the system in D has a solution of x=5 and y=0
solve by substitution x+y=5 so x=5-y
plug into the other equation so 3(5-y)+4y=15
distribute 15-3y+4y=15 then minus 15 on both sides and combine like terms
so y=0 then put that value back into the other equation
so x+y=5 equals x+0=5 so x=5 this means the solution to the system of equations is the point (5,0)
Hope this helps! :)
Answer:
A.
Step-by-step explanation:
Physical scientists are often known as astronomers. Which is the study of space including planets, moons, comets etc.
Answer:
Option D. is the correct choice.
Step-by-step explanation:
Cylinder and a cone.
Answer: x=15
Step-by-step explanation: Let's solve your equation step-by-step.
x+
1
/2
(x−5)=20
Step 1: Simplify both sides of the equation.
x+
1
/2
(x−5)=20
x+(
1
/2
)(x)+(
1
/2
)(−5)=20(Distribute)
x+
1
/2
x+ −5
/2
=20
(x+
1
/2
x)+(
−5
/2
)=20(Combine Like Terms)
3
/2
x + −5
/2
=20
3
/2
x + −5
/2
=20
Step 2: Add 5/2 to both sides.
3
/2
x + −5
/2 + 5
/2
=20+
5
/2
3
/2
x= 45
/2
Step 3: Multiply both sides by 2/3.
(
2
/3
)*(
3
/2
x)=(
2
/3
)*(
45
/2
)
x=15
