math 10 – week 15

this week in math we learned about solving a system using elimination. To solve a system using elimination you first take the 2 equations: 3x + 4y = 10, -x + 5 = -16. now you should multiply the second equation by 3 to make it -3x and the first equation is 3x so they cancel each other out to get: 4y = 10, +15y = -48(because you multiplied everything by 3 on the second equation). now add the like terms from the equations to get: 19y = -38. now you divide both sides by 19 to get y = -2. now put the -2 into the equation to have 3x + 4(-2) = 10 multiply to get: 3x – 8 = 10. bring the -8 to the other side of the equation to get: 3x = 18. divide both sides by 3 to get x = 6. and that’s how you solve the equation.

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