Simplify the expression: {:[3a+5u=17],[2a+u=9]:}

Solve for 'u': Step 1: Solve the second equation for 'u'. Given: 2a + u = 9 Subtract 2a from both sides: u = 9 - 2aSubstitute into first equation: Step 2: Substitute the expression for 'u' from Step 1 into the first equation. Substitute u = 9 - 2a into 3a + 5u = 17: 3a + 5(9 - 2a) = 17Simplify and solve for 'a': Step 3: Simplify and solve for 'a'. 3a + 45 - 10a = 17 -7a + 45 = 17 Subtract 45 from both sides: -7a = -28 Divide by -7: a = 4Substitute back for 'u': Step 4: Substitute the value of 'a' back into the expression for 'u' to find 'u'. u = 9 - 2(4) u = 9 - 8 u = 1

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Grade 8

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Q. Simplify the expression:

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3a+5u = 17

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2a+u=9

Solve for 'u': Step $1$ : Solve the second equation for 'u'. $\newline$ Given: $2a + u = 9$ $\newline$ Subtract $2a$ from both sides: $u = 9 - 2a$
Substitute into first equation: Step $2$ : Substitute the expression for $u$ from Step $1$ into the first equation. $\newline$ Substitute $u = 9 - 2a$ into $3a + 5u = 17$ : $\newline$ $3a + 5(9 - 2a) = 17$
Simplify and solve for 'a': Step $3$ : Simplify and solve for 'a'. $\newline$ $3a + 45 - 10a = 17$ $\newline$ $-7a + 45 = 17$ $\newline$ Subtract $45$ from both sides: $-7a = -28$ $\newline$ Divide by $-7$ : $a = 4$
Substitute back for 'u': Step $4$ : Substitute the value of 'a' back into the expression for 'u' to find 'u'. $\newline$ $u = 9 - 2(4)$ $\newline$ $u = 9 - 8$ $\newline$ $u = 1$