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The expression -2y - 5y can be simplified by combining like terms. In this case, the like terms are both negative and have the variable y. When you combine -2y and -5y, you add their coefficients together, resulting in -7y. Therefore, -2y - 5y simplifies to -7y.
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5y-2y= 3y+2 5y-2y-3y= 2 0y= 2
10x - 5y + 2x - 3y = 12x - 8y
2x - 2y = 12 (1)1x + 5y = 34 (2)x + 5y = 34 subtract 5y to both sidesx = 34 - 5y (3)Substitute 34 - 5y for x into the first equation2x - 2y = 122(34 - 5y) - 2y = 1268 - 10y - 2y = 1268 - 12y = 12 subtract 68 to both sides-12y = -56 divide by -12 to both sidesy = 4.666666667Substitute 4.7 for y into the third equationx = 34 - 5yx = 34 - 5(4.7)x = 34 - 23.33333333x = 10.66666667Check:
6 - y + 5y - 6y = 6 - 2y