Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
B. 6/9 because 6/9 equal to 2/3 so it’s basically the same ratio
Suppose the line is y=mx+b
when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6
<span>product of a number and 10: 10n
</span><span>Seven less than the product of a number and 10: 10n - 7
so
</span><span>Seven less than the product of a number and 10 is 50:</span>
10n - 7 = 50
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if you need to find the number n then
10n - 7 = 50
10n = 57
n = 57/10
n = 5.7