Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
16
Step-by-step explanation:
48= 3x
48/3 = x
x= 16
'product and' means multiply I googled it
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Subtract the sides of the equation plus<em> </em><em>1</em><em>1</em> :
Subtract the sides of the equation plus <em>1</em><em>0</em><em>x</em>
Divided the sides of the equation by <em>9</em><em> </em>
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Answer:
Each pencil costs 20 cents
Step-by-step explanation:
2.40 - 1 = 1.40
1.40/7 = 0.2
