6x-y=2 y=3x+4 how do you solve this the system of equations

(2, 10 )

Step-by-step explanation:

Given the 2 equations

6x - y = 2 → (1)

y = 3x + 4 → (2)

Substitute y = 3x + 4 into (1)

6x - 3x - 4 = 2

3x - 4 = 2 ( add 2 to both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into (2)

y = (3 × 2) + 4 = 6 + 4 = 10

Solution is (2, 10 )

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap