Answer:
number of hours Alexander family ‘s sprinkler work = 20
number of hours Morgan family ‘s sprinkler work = 30
Step-by-step explanation:
Given in the question,
water output rate for the Alexander family ‘s sprinkler = 40 L
water output rate for the Morgan family ‘s sprinkler = 20 L
Suppose, number of hours Alexander family ‘s sprinkler work = x
Suppose, number of hours Morgan family ‘s sprinkler work = y
Equation1
x + y = 50
Equation 2
40x + 20y = 1400
x = 50 - y
Put this value of x in equation 2
40(50-y) + 20y = 1400
2000 - 40y + 20y = 1400
-20y = 1400 - 2000
-20y = -600
y = 30
Put this value of y in equation 1 to get the value of x
x + 30 = 50
x = 50 - 30
x = 20
Answer:
Step-by-step explanation:
We can subtract a term from another if they have the same variable. Both 
and 
have the variable 
, so we can subtract them.
When subtracting these terms, we subtract the coefficients and keep the variable.
So:
Hope this helped!
Answer:
-3 = x
Step-by-step explanation:
0 = -x3-9
9=-x3
3=-x
-3=x
Answer:
y = 89 x = 123
Step-by-step explanation:
since they're both in standard form, its easier to do the process of elimination
x - y = 34
-x -y -212
------------------
-2y = -178
y = 89
now plug in y to any one of those two equations
x - y = 34
x - 89 = 34
x = 123
<em>to check:</em>
<em>x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
<em>1</em><em>2</em><em>3</em><em> </em><em>+</em><em> </em><em>8</em><em>9</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
<em>2</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>2</em><em>1</em><em>2</em>
Angle ADC and EDG are congruent(vertical angles)
Same side interior angles are =180
2x+4x-30=180
6x-30=180
6x=210
x=35
CDG is congruent to DGH(alternate interior)
4x-30
4(35)-30
140-30
=110
