Undefined!! i hope this helps
Answer:
x = 5, y = -2
Step-by-step explanation:
2x + 5y = 0 --- Equation 1
Equation 1×3: <u>6x</u> + 15y = 0 --- Equation 2
3x - 4y = 23 --- Equation 3
Equation 3×2: <u>6x</u> - 8y = 46 --- Equation 3
<em>We will be eliminating 6x from Equation 2. </em>
Equation 3-2: 6x - 8y - 6x - 15y = 46-0
-23y = 46
y = 46 ÷ -23
<u>y = -2 </u>
Substitute y = -2 into Equation 1:
2x + 5y = 0
2x + 5(-2) = 0
2x + (-10) = 0
2x - 10 = 0
2x = 10
x = 10 ÷ 2
<u>x = 5 </u>
Answer:
i dont know
Step-by-step explanation:
i dont know
Answer:
There were 61 bagels and 23 coffee sold
Step-by-step explanation:
Let us solve the question
∵ The number of bagels and coffee sold by a bagel shop yesterday
can be modeled using the equation b + c = 84
∴ b + c = 84 ⇒ (1)
∵ Their sales for the same day can be modeled using the equation
2b + c = 145
∴ 2b + c = 145 ⇒ (2)
Let us solve the system of equations using substitution
→ Subtract the two sides of equation (1) by b to find c in terms of b
∵ b - b + c = 84 - b
∴ c = 84 - b ⇒ (3)
→ Substitute c in equation (2) by equation (3)
∵ 2b + 84 - b = 145
→ Add the like terms on the left side
∴ (2b - b) + 84 = 145
∴ b + 84 = 145
→ Subtract 84 from both sides
∵ b + 84 - 84 = 145 - 84
∴ b = 61
→ Substitute the value of b in equation (3) to find c
∵ c = 84 - 61
∴ c = 23
∴ There were 61 bagels and 23 coffee sold.
