# Tutor profile: Md Altab S.

## Questions

### Subject: Trigonometry

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### Subject: Basic Math

x + 6y = 11 x − 3 = 2y Find x and y.

Transform the second equation so that the value of x is expressed in terms of y. Add 3 to both sides. x − 3 + 3 = 2y + 3 Combine like terms on each side. x = 2y + 3 Substitute the value of x into the first equation in the system and solve for y. (2y + 3) + 6y = 11 Use the commutative property of addition. 2y + 6y + 3 = 11 Combine like terms. 8y + 3 = 11 Subtract 3 from both sides. 8y + 3 − 3 = 11 − 3 Combine like terms on each side. 8y = 8 Divide both sides by 8. y = 1 Substitute the found value for y into the first equation and solve for x. x + 6(1) = 11 Subtract 6 from both sides. x + 6 − 6 = 11 − 6 Simplify. x = 5 The solution for the system of equations is (5,1).

### Subject: Algebra

10[0.8(x + 20) − 4.5] = 10[0.7(5 + x) − 0.9x] Find the value of x

10[0.8(x + 20) − 4.5] = 10[0.7(5 + x) − 0.9x] Use the distributive property of multiplication. 10[0.8(x + 20)] − 10[4.5] = 10[0.7(5 + x)] − 10[0.9x] Simplify the expressions. 8(x + 20) − 45 = 7(5 + x) − 9x Use the distributive property again. 8(x) + 8(20) − 45 = 7(5) + 7(x) − 9x Simplify the expressions. 8x + 160 − 45 = 35 + 7x − 9x Combine like terms on each side of the equation. 8x + 115 = 35 − 2x Subtract 115 from both sides of the equation. 8x + 115 − 115 = 35 − 115 − 2x Combine like terms on each side of the equation. 8x = −80 − 2x Add 2x to both sides of the equation. 8x + 2x = −80 − 2x + 2x Combine like terms on each side of the equation. 10x = −80 Divide both sides of the equation by 10. Simplify the expression. x = −8

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