<span>-x + 5y= -18 so x = 5y + 18
5x-9y=10
substitute </span>x = 5y + 18 into 5x - 9y = 10
5x - 9y = 10
5(5y + 18) - 9y = 10
25y + 90 - 9y = 10
16y = - 80
y = -5
x = 5y + 18
x = 5(-5) + 18
x = -25 + 18
x = -7
answer
(-7, -5)
It would be 45º. Don't question me
Step-by-step explanation:
I cant show a number line so i'll do my best to explain how its graphed.
15) x - 1 < 15
add 1 to both sides:
x < 16
Because it is less than, rather than less than or equal to, it's graphed with an open circle (not filled in) on 16, and everything less than 16 highlighted
---------------------------------------------------------
16) 2(y + 1) - 2 ≥ 12
distribute the 2:
2y + 2 - 2 ≥ 12
combine like terms
2y ≥ 12
isolate y:
y ≥ 6
This one is greater than or equal to, so it's graphed with a closed circle (filled in) and everything above 6 highlighted
I believe it would look like this
---------E --------M
/
S/----------M----------E
/
/
/ -----------S--------------M
/ /
/ /
/---------E /
\ \
\ ----------------M-------------S
\
\
\ /-------------------M-------------S
\ /
M/
\
\----------------------S------------E
Answer
Q1. -8+3
solution:
= -8+3
= -5 .Ans
Rule : if the sign are different subtract and and keep the sign of larger value.
Q2. 7-(-14)
solution :
= 7-(-14)
= 7 + 14
= 21 .Ans
Rule: if the signs are same add and keep the sign same
Q3. 8× (-2)
solution:
= 8×-2
= -16. Ans
(solve bracket first)
Q4. (-39) ÷ (9)
solution:
= -39 ÷ 9
= -4 .Ans
Q5. 24 ÷ 8 × (7+3) ÷ 5
solution:
= 24 ÷ 8 × (10) ÷ 5
= 24÷ 8 × 10 ÷ 5
= 3 × 2
= 6
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
Q6. 8 (2x+9) - 2
solution:
= 8 (2x+9) -2
= 16x + 72 - 2
= 16x + 70 .Ans
Q7. 36y - 8y + 15 - 13
solution:
= 36y- 8y + 15 - 13
= 30y + 2 .Ans
Q8. 3÷ 4
solution :
= 3÷ 4
= 0.75 .Ans
Q9. 8/0
soution: It is undefined or you cannot evaluate it. Explanation: You cannot evaluate 8 /0 because there is no real number.
Q10. 18 /1
solution:
= 18/1
= 18 ÷ 1
= 18. Ans
Explanation :This rule tells us simply that if we have a number divided by 1, our answer will equal that number regardless of what that number is. We don't even have to pay that much attention to the number we are dividing. We just have to make sure that when dividing any number by 1, we remember the answer is always itself.
Q11. 1 ÷ 9-3
solution:
= 1 ÷ 9-3
= 0.1111 - 3
= −2.8888 .Ans
(Note : According to BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. )
