I’m not sure if you want the answer or how to do i’ll just give you both.
multiply the bottom by -4. then it should look like:
8x-6y=-6
-8x+16y=56
then cancel out the x’s and add/subtract the others, giving you: -2y=50. then divide 50 by -2 giving you: y=-25. then find x. plug in y to one of the equations. i usually do the one that hasn’t been messed with. 8x-6(25)=-6. then solve it like a normal two-step equation.
so the answer is: (18,-25)
Answer:
DGH has a different number than Ce and FI
Answer:
<h2>i) 3</h2><h2>ii) 5</h2>
Step-by-step explanation:
Let H be the set of students who play Hokey
V be the set of students who play Volleyball
S be the set of students who play Soccer
======================================
card(volleyball only) = card(V) - [card(V∩H∩S) + card(V∩H only) + card(V∩S only)]
= 73 - [50 + (58-50) + (62-50)]
= 73 - [50 + 8 + 12]
= 73 - 70
= 3
………………………………………………
Card(Hokey only) = 100 - [3 + 8 + 50 + 10 + 12 + 12]
= 100 - 95
= 5
…………………
<u><em>Note</em></u> :
A Venn diagram might be helpful in such case.
Answer:
a= -2 and b=3
Step-by-step explanation:
Step 1) Solve the first equation for a:
a + 3b = 7
a + 3b - 3b = 7 - 3b
a + 0 = 7 - 3b
a = 7 - 3b
Step 2) Substitute(7 - 3b) for a in a second equation and solve for b:
2a = b - 7 becomes:
2(7 - 3b) = b-7
(2 multi.7) - (2 multi.3b)= b-7
14 - 6b = b - 7
14 + 7 - 6b + 6b = b + 6b = b + 6b - 7 +7
21 - 0 = 1b + 6b - 0
21=(1 + 6)b
21 = 7b
21
/7 = 7b/7
3 = 7b/7
3 = b
b = 3
Step 3) Substitute 3 for b in the solution to the first equation at the end of Step 1 and calculate a
:
a = 7 - 3b becomes:
a = 7 − (
3 ⋅ 3)
a = 7 −
9
a = −
2
Answer:
<em>x = 6 and y = 25 → (6, 25)</em>
Step-by-step explanation:
Substitute y = 4x + 1 to the equation 2x + y = 37:
2x + (4x + 1) = 37
(2x + 4x) + 1 = 37 <em>subtract 1 from both sides</em>
6x = 36 <em>divide both sides by 6</em>
x = 6
Pyt the value of x to the first equation:
y = 4(6) + 1
y = 24 + 1
y = 25
