x=2
y=7
5x+3y=
5 7
x 2 x 3
____ _____
10 21
21
+ 10
_______
31
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3y = -5x+2 y = -5/3x+2/3 The gradient is -5/3 and the y intercept is 2/3
equation is 3y = 5x + 2 standard form is y = mx + b m is the slope adjust the formula for y y = (5/3)x +2/3 slope is 5/3 or 1 and 2/3
Sounds like a system of equations. Y + 5X = - 2 - 15X - 3Y = 6 substitution using first equation Y + 5X = - 2 Y = - 5X - 2 ==========insert into other equation as this is Y - 15X - 3(- 5X - 2) = 6 - 15X + 15X + 6 = 6 ========================This looks to be a dependent system that has an infinite number of solutions
3y = 5xy = x + 23y = 5x3(x + 2) = 5x3x + 6 = 5x3x - 3x + 6 = 5x - 3x6 = 2x6/2 = 2x/23 = xy = x + 2 = 3 + 2 = 5Thus, the solution of the set is (3, 5)Check:
8x-7 plus 2x equals 6 plus 5x plus 2?