Tutor profile: Sophie W.
Can you count from one to ten in Chinese?
一 二 三 四 五 六 七 八 九 十
6x + 5y = 17 3x + 6y = 12 Solve x and y.
Multiply the second equation by 2 to get 6x We get 6x + 12y = 24 Use it to subtract the first equation, then because x is the same it gets canceled. We get 7y = 7 y = 1 Substitute y back to the first equation, then we get 6x + 5 = 17 6x = 12 x = 2 Therefore, x = 2, y = 1
Find the slope of a line 6x + 3y = 4.
A slope of a line is the ratio of y change to x change. Therefore, we move y to the left and the rest to the right. 3y = 4 - 6x And divide both sides by three so the equation is still balanced. Y = 4/3 - 2x With every increase of 1 in y, x decreases by 2. Therefore we know the slope is y change (1) over x change (-2), that is -1/2
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