3x + 5y = 29 first equation
y = -4x - 1 second equation
substitute the second equation to the first equation;
3x + 5(-4x - 1) = 29
-17x - 5 = 29
solve for x;
-17x - 5 = 29
-17x = 34
x = -2
substitute x = -2 into the second equation to find y;
y = -4x - 1
y = -4(-2) - 1
y = 8 - 1
y = 7
so;
x = -2, y = 7
hope this helps, God bless!
Answer:
the rate of each train is 139 km/h and 159 km/h.
Step-by-step explanation:
let
v = the rate of the slower train
v + 20 = the rate of the faster train
d = 1490 km the distance that the two train will travel
t = 5 hr the time of the travel
since speed = distance/time => distance = speed*time
v*t + (v+20)t = d
5v + 5(v + 20) = 1490
5v+5(v+20)=1490
Step 1: Simplify both sides of the equation.
5v+5(v+20)=1490
5v+(5)(v)+(5)(20)=1490(Distribute)
5v+5v+100=1490
(5v+5v)+(100)=1490(Combine Like Terms)
10v+100=1490
10v+100=1490
Step 2: Subtract 100 from both sides.
10v+100−100=1490−100
10v=1390
Step 3: Divide both sides by 10.
10v/10 = 1390/10
v = 139km/h
Next
we add 139 to 20
139 + 20 = 159 km/h
the rate of each train is 139 km/h and 159 km/h.
Answer:
A square
Step-by-step explanation: A square is a parallelogram. This is always true. Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides.
Four times the sum of a number and 15 is at least 120
Let ‘x’ represent the number.
"The sum of a number and 15"
This can be written mathematically as x + 15
Given that 4 times this sum is at least 120,
This means that 4 times the sum is greater than or equal to 120
This can be written mathematically as 4(x + 15) >= 120
Solving for x
4(x + 15) >= 120
4x + 60 >= 120
4x >= 120 – 60
4x >= 60
x >= 60/4
x >= 15
x is greater than or equal to 15
<span>
</span>
